If a number is multiplied by four, it gives the same result as 2/7 of 500 for. what is the number?

Sounds as tho you meant:

4n = (2/7)(500)
                                              1000
If that's the case, then 4n =
                                                 7
             1000         250
or n = =    (answer)
                28             7

Check:  does 4(250/7) equal (2/7)(500)?  YES.