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Finding the Fourth Proportional to 502.62, 694.71 and 463.74

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Solution

The fourth proportional to 502.62, 694.71 and 463.74 is: 640.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.62 : 694.71 = 463.74 : x
  2. Step 2: Convert to fraction form
    502.62/694.71 = 463.74/x
  3. Step 3: Cross multiply
    502.62x = 694.71 × 463.74
  4. Step 4: Simplify right side
    502.62x = 322,164.82
  5. Step 5: Solve for x
    x = 322,164.82/502.62
  6. Step 6: Final answer
    x = 640.97

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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.