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Finding the Fourth Proportional to 502.39, 694.17 and 414.91

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Solution

The fourth proportional to 502.39, 694.17 and 414.91 is: 573.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.39 : 694.17 = 414.91 : x
  2. Step 2: Convert to fraction form
    502.39/694.17 = 414.91/x
  3. Step 3: Cross multiply
    502.39x = 694.17 × 414.91
  4. Step 4: Simplify right side
    502.39x = 288,016.00
  5. Step 5: Solve for x
    x = 288,016.00/502.39
  6. Step 6: Final answer
    x = 573.29

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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.