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Finding the Fourth Proportional to 502.56, 694.20 and 456.66

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Solution

The fourth proportional to 502.56, 694.20 and 456.66 is: 630.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.56 : 694.20 = 456.66 : x
  2. Step 2: Convert to fraction form
    502.56/694.20 = 456.66/x
  3. Step 3: Cross multiply
    502.56x = 694.20 × 456.66
  4. Step 4: Simplify right side
    502.56x = 317,013.37
  5. Step 5: Solve for x
    x = 317,013.37/502.56
  6. Step 6: Final answer
    x = 630.80

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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.