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Finding the Fourth Proportional to 502.17, 691.94 and 467.54

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Solution

The fourth proportional to 502.17, 691.94 and 467.54 is: 644.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.17 : 691.94 = 467.54 : x
  2. Step 2: Convert to fraction form
    502.17/691.94 = 467.54/x
  3. Step 3: Cross multiply
    502.17x = 691.94 × 467.54
  4. Step 4: Simplify right side
    502.17x = 323,503.83
  5. Step 5: Solve for x
    x = 323,503.83/502.17
  6. Step 6: Final answer
    x = 644.21

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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.