<PAGE>   1


                                                                     Exhibit 24


                               POWER OF ATTORNEY

                        KNOW ALL MEN BY THESE PRESENTS:


     That, the undersigned does hereby make, constitute and appoint, Timothy G.
Rupert or Lawrence W. Jacobs, my true and lawful attorney-in-fact, to sign and
execute for me and on my behalf, the Annual Report on Form 10K for the year 1999
for RTI International Metals, Inc., and any and all amendments thereto to be
filed with the Securities and Exchange Commission pursuant to the Securities
Exchange Act, as amended, in such form as they or any one or more of them may
approve, and to do any and all other acts which said attorney-in-fact may deem
necessary or desirable to enable RTI International Metals, Inc. to comply with
said Act and the rules and regulations thereunder.

IN WITNESS WHEREOF, I have hereunto set my hand and seal.




3/21/00                            /s/ Craig R. Andersson
-------                                ------------------------
 (Date)                                Craig R. Andersson
<PAGE>   2




                               POWER OF ATTORNEY

                        KNOW ALL MEN BY THESE PRESENTS:


     That, the undersigned does hereby make, constitute and appoint, Timothy G.
Rupert or Lawrence W. Jacobs, my true and lawful attorney-in-fact, to sign and
execute for me and on my behalf, the Annual Report on Form 10K for the year 1999
for RTI International Metals, Inc., and any and all amendments thereto to be
filed with the Securities and Exchange Commission pursuant to the Securities
Exchange Act, as amended, in such form as they or any one or more of them may
approve, and to do any and all other acts which said attorney-in-fact may deem
necessary or desirable to enable RTI International Metals, Inc. to comply with
said Act and the rules and regulations thereunder.

IN WITNESS WHEREOF, I have hereunto set my hand and seal.




3/22/00                            /s/ Neil A. Armstrong
-------                                ------------------------
 (Date)                                Neil A. Armstrong
<PAGE>   3




                               POWER OF ATTORNEY

                        KNOW ALL MEN BY THESE PRESENTS:


     That, the undersigned does hereby make, constitute and appoint, Timothy G.
Rupert or Lawrence W. Jacobs, my true and lawful attorney-in-fact, to sign and
execute for me and on my behalf, the Annual Report on Form 10K for the year 1999
for RTI International Metals, Inc., and any and all amendments thereto to be
filed with the Securities and Exchange Commission pursuant to the Securities
Exchange Act, as amended, in such form as they or any one or more of them may
approve, and to do any and all other acts which said attorney-in-fact may deem
necessary or desirable to enable RTI International Metals, Inc. to comply with
said Act and the rules and regulations thereunder.

IN WITNESS WHEREOF, I have hereunto set my hand and seal.




3/25/00                            /s/ Daniel I. Booker
-------                                ------------------------
 (Date)                                Daniel I. Booker
<PAGE>   4




                               POWER OF ATTORNEY

                        KNOW ALL MEN BY THESE PRESENTS:


     That, the undersigned does hereby make, constitute and appoint, Timothy G.
Rupert or Lawrence W. Jacobs, my true and lawful attorney-in-fact, to sign and
execute for me and on my behalf, the Annual Report on Form 10K for the year 1999
for RTI International Metals, Inc., and any and all amendments thereto to be
filed with the Securities and Exchange Commission pursuant to the Securities
Exchange Act, as amended, in such form as they or any one or more of them may
approve, and to do any and all other acts which said attorney-in-fact may deem
necessary or desirable to enable RTI International Metals, Inc. to comply with
said Act and the rules and regulations thereunder.

IN WITNESS WHEREOF, I have hereunto set my hand and seal.




3/20/00                            /s/ Ronald L. Gallatin
-------                                ------------------------
 (Date)                                Ronald L. Gallatin
<PAGE>   5




                               POWER OF ATTORNEY

                        KNOW ALL MEN BY THESE PRESENTS:


     That, the undersigned does hereby make, constitute and appoint, Timothy G.
Rupert or Lawrence W. Jacobs, my true and lawful attorney-in-fact, to sign and
execute for me and on my behalf, the Annual Report on Form 10K for the year 1999
for RTI International Metals, Inc., and any and all amendments thereto to be
filed with the Securities and Exchange Commission pursuant to the Securities
Exchange Act, as amended, in such form as they or any one or more of them may
approve, and to do any and all other acts which said attorney-in-fact may deem
necessary or desirable to enable RTI International Metals, Inc. to comply with
said Act and the rules and regulations thereunder.

IN WITNESS WHEREOF, I have hereunto set my hand and seal.




3/23/00                            /s/ Charles C. Gedeon
-------                                ------------------------
 (Date)                                Charles C. Gedeon
<PAGE>   6




                               POWER OF ATTORNEY

                        KNOW ALL MEN BY THESE PRESENTS:


     That, the undersigned does hereby make, constitute and appoint, Timothy G.
Rupert or Lawrence W. Jacobs, my true and lawful attorney-in-fact, to sign and
execute for me and on my behalf, the Annual Report on Form 10K for the year 1999
for RTI International Metals, Inc., and any and all amendments thereto to be
filed with the Securities and Exchange Commission pursuant to the Securities
Exchange Act, as amended, in such form as they or any one or more of them may
approve, and to do any and all other acts which said attorney-in-fact may deem
necessary or desirable to enable RTI International Metals, Inc. to comply with
said Act and the rules and regulations thereunder.

IN WITNESS WHEREOF, I have hereunto set my hand and seal.




3/20/00                            /s/ Robert M. Hernandez
-------                                ------------------------
 (Date)                                Robert M. Hernandez
<PAGE>   7




                               POWER OF ATTORNEY

                        KNOW ALL MEN BY THESE PRESENTS:


     That, the undersigned does hereby make, constitute and appoint, Timothy G.
Rupert or Lawrence W. Jacobs, my true and lawful attorney-in-fact, to sign and
execute for me and on my behalf, the Annual Report on Form 10K for the year 1999
for RTI International Metals, Inc., and any and all amendments thereto to be
filed with the Securities and Exchange Commission pursuant to the Securities
Exchange Act, as amended, in such form as they or any one or more of them may
approve, and to do any and all other acts which said attorney-in-fact may deem
necessary or desirable to enable RTI International Metals, Inc. to comply with
said Act and the rules and regulations thereunder.

IN WITNESS WHEREOF, I have hereunto set my hand and seal.




3/22/00                            /s/ Edith E. Holiday
-------                                ------------------------
 (Date)                                Edith E. Holiday
<PAGE>   8





                               POWER OF ATTORNEY

                        KNOW ALL MEN BY THESE PRESENTS:


     That, the undersigned does hereby make, constitute and appoint, Timothy G.
Rupert or Lawrence W. Jacobs, my true and lawful attorney-in-fact, to sign and
execute for me and on my behalf, the Annual Report on Form 10K for the year 1999
for RTI International Metals, Inc., and any and all amendments thereto to be
filed with the Securities and Exchange Commission pursuant to the Securities
Exchange Act, as amended, in such form as they or any one or more of them may
approve, and to do any and all other acts which said attorney-in-fact may deem
necessary or desirable to enable RTI International Metals, Inc. to comply with
said Act and the rules and regulations thereunder.

IN WITNESS WHEREOF, I have hereunto set my hand and seal.




3/16/00                            /s/ John H. Odle
-------                                ------------------------
 (Date)                                John H. Odle
<PAGE>   9




                               POWER OF ATTORNEY

                        KNOW ALL MEN BY THESE PRESENTS:


     That, the undersigned does hereby make, constitute and appoint, Timothy G.
Rupert or Lawrence W. Jacobs, my true and lawful attorney-in-fact, to sign and
execute for me and on my behalf, the Annual Report on Form 10K for the year 1999
for RTI International Metals, Inc., and any and all amendments thereto to be
filed with the Securities and Exchange Commission pursuant to the Securities
Exchange Act, as amended, in such form as they or any one or more of them may
approve, and to do any and all other acts which said attorney-in-fact may deem
necessary or desirable to enable RTI International Metals, Inc. to comply with
said Act and the rules and regulations thereunder.

IN WITNESS WHEREOF, I have hereunto set my hand and seal.




3/28/00                            /s/ Wesley W. von Schack
-------                                ------------------------
 (Date)                                Wesley W. von Schack