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Finding the Fourth Proportional to 752.50, 1,129.02 and 692.56

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Solution

The fourth proportional to 752.50, 1,129.02 and 692.56 is: 1,039.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.50 : 1,129.02 = 692.56 : x
  2. Step 2: Convert to fraction form
    752.50/1,129.02 = 692.56/x
  3. Step 3: Cross multiply
    752.50x = 1,129.02 × 692.56
  4. Step 4: Simplify right side
    752.50x = 781,914.09
  5. Step 5: Solve for x
    x = 781,914.09/752.50
  6. Step 6: Final answer
    x = 1,039.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.