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Finding the Fourth Proportional to 663.92, 994.08 and 458.24

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Solution

The fourth proportional to 663.92, 994.08 and 458.24 is: 686.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.92 : 994.08 = 458.24 : x
  2. Step 2: Convert to fraction form
    663.92/994.08 = 458.24/x
  3. Step 3: Cross multiply
    663.92x = 994.08 × 458.24
  4. Step 4: Simplify right side
    663.92x = 455,527.22
  5. Step 5: Solve for x
    x = 455,527.22/663.92
  6. Step 6: Final answer
    x = 686.12

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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.