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Finding the Fourth Proportional to 502.49, 692.90 and 432.78

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Solution

The fourth proportional to 502.49, 692.90 and 432.78 is: 596.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.49 : 692.90 = 432.78 : x
  2. Step 2: Convert to fraction form
    502.49/692.90 = 432.78/x
  3. Step 3: Cross multiply
    502.49x = 692.90 × 432.78
  4. Step 4: Simplify right side
    502.49x = 299,871.10
  5. Step 5: Solve for x
    x = 299,871.10/502.49
  6. Step 6: Final answer
    x = 596.78

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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.