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Finding the Fourth Proportional to 502.34, 750.07 and 449.94

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Solution

The fourth proportional to 502.34, 750.07 and 449.94 is: 671.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.34 : 750.07 = 449.94 : x
  2. Step 2: Convert to fraction form
    502.34/750.07 = 449.94/x
  3. Step 3: Cross multiply
    502.34x = 750.07 × 449.94
  4. Step 4: Simplify right side
    502.34x = 337,489.87
  5. Step 5: Solve for x
    x = 337,489.87/502.34
  6. Step 6: Final answer
    x = 671.83

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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.