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Finding the Fourth Proportional to 663.27, 996.12 and 502.08

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Solution

The fourth proportional to 663.27, 996.12 and 502.08 is: 754.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.27 : 996.12 = 502.08 : x
  2. Step 2: Convert to fraction form
    663.27/996.12 = 502.08/x
  3. Step 3: Cross multiply
    663.27x = 996.12 × 502.08
  4. Step 4: Simplify right side
    663.27x = 500,131.93
  5. Step 5: Solve for x
    x = 500,131.93/663.27
  6. Step 6: Final answer
    x = 754.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.