Write a function that will return the input value. However, your function must fail the first four times, only functioning properly every fifth time. Furthermore, the first four times the function is called, successively closer, but not correct, values must be supplied by the function.

For example, if x = 10, you may return any number not equal to 10 the first function call. Here, we will return 27. Then, the second function call must return a value between 27 and 10, but not equal to either, and so on, until 10 is returned the fifth time.