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Finding the Fourth Proportional to 502.73, 749.85 and 487.35

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Solution

The fourth proportional to 502.73, 749.85 and 487.35 is: 726.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.73 : 749.85 = 487.35 : x
  2. Step 2: Convert to fraction form
    502.73/749.85 = 487.35/x
  3. Step 3: Cross multiply
    502.73x = 749.85 × 487.35
  4. Step 4: Simplify right side
    502.73x = 365,437.62
  5. Step 5: Solve for x
    x = 365,437.62/502.73
  6. Step 6: Final answer
    x = 726.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.