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Finding the Fourth Proportional to 502.71, 694.01 and 463.18

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Solution

The fourth proportional to 502.71, 694.01 and 463.18 is: 639.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.71 : 694.01 = 463.18 : x
  2. Step 2: Convert to fraction form
    502.71/694.01 = 463.18/x
  3. Step 3: Cross multiply
    502.71x = 694.01 × 463.18
  4. Step 4: Simplify right side
    502.71x = 321,451.55
  5. Step 5: Solve for x
    x = 321,451.55/502.71
  6. Step 6: Final answer
    x = 639.44

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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.