Find 3 numbers in GP such that their sum is 7 and the sum of the their reciprocal is 7/4

If you try numbers that add to 7 you should be able to stumble o the answer pretty quickly. For example: 2 + 2 + 3 = 7, but 1/2 +1/2 +1/3 = 4/3, ot 7/4. Or: 1 + 3 + 3 = 7, but 1/1 + 1/3 +1/3 = 5/3. Try som other combinations and you'll hit on it.