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Finding the Fourth Proportional to 525.30, 724.52 and 502.04

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Solution

The fourth proportional to 525.30, 724.52 and 502.04 is: 692.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.30 : 724.52 = 502.04 : x
  2. Step 2: Convert to fraction form
    525.30/724.52 = 502.04/x
  3. Step 3: Cross multiply
    525.30x = 724.52 × 502.04
  4. Step 4: Simplify right side
    525.30x = 363,734.40
  5. Step 5: Solve for x
    x = 363,734.40/525.30
  6. Step 6: Final answer
    x = 692.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.