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Finding the Fourth Proportional to 497.40, 686.62 and 331.86

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Solution

The fourth proportional to 497.40, 686.62 and 331.86 is: 458.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.40 : 686.62 = 331.86 : x
  2. Step 2: Convert to fraction form
    497.40/686.62 = 331.86/x
  3. Step 3: Cross multiply
    497.40x = 686.62 × 331.86
  4. Step 4: Simplify right side
    497.40x = 227,861.71
  5. Step 5: Solve for x
    x = 227,861.71/497.40
  6. Step 6: Final answer
    x = 458.11

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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.