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Finding the Fourth Proportional to 753.53, 1,129.68 and 692.78

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Solution

The fourth proportional to 753.53, 1,129.68 and 692.78 is: 1,038.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.53 : 1,129.68 = 692.78 : x
  2. Step 2: Convert to fraction form
    753.53/1,129.68 = 692.78/x
  3. Step 3: Cross multiply
    753.53x = 1,129.68 × 692.78
  4. Step 4: Simplify right side
    753.53x = 782,614.06
  5. Step 5: Solve for x
    x = 782,614.06/753.53
  6. Step 6: Final answer
    x = 1,038.60

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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.