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Finding the Fourth Proportional to 502.71, 694.22 and 475.44

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Solution

The fourth proportional to 502.71, 694.22 and 475.44 is: 656.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.71 : 694.22 = 475.44 : x
  2. Step 2: Convert to fraction form
    502.71/694.22 = 475.44/x
  3. Step 3: Cross multiply
    502.71x = 694.22 × 475.44
  4. Step 4: Simplify right side
    502.71x = 330,057.58
  5. Step 5: Solve for x
    x = 330,057.58/502.71
  6. Step 6: Final answer
    x = 656.56

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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.