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Finding the Fourth Proportional to 502.13, 749.77 and 449.73

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Solution

The fourth proportional to 502.13, 749.77 and 449.73 is: 671.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.13 : 749.77 = 449.73 : x
  2. Step 2: Convert to fraction form
    502.13/749.77 = 449.73/x
  3. Step 3: Cross multiply
    502.13x = 749.77 × 449.73
  4. Step 4: Simplify right side
    502.13x = 337,194.06
  5. Step 5: Solve for x
    x = 337,194.06/502.13
  6. Step 6: Final answer
    x = 671.53

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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.