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Finding the Fourth Proportional to 497.72, 686.87 and 331.65

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Solution

The fourth proportional to 497.72, 686.87 and 331.65 is: 457.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.72 : 686.87 = 331.65 : x
  2. Step 2: Convert to fraction form
    497.72/686.87 = 331.65/x
  3. Step 3: Cross multiply
    497.72x = 686.87 × 331.65
  4. Step 4: Simplify right side
    497.72x = 227,800.02
  5. Step 5: Solve for x
    x = 227,800.02/497.72
  6. Step 6: Final answer
    x = 457.68

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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.