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Finding the Fourth Proportional to 497.31, 686.31 and 331.59

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Solution

The fourth proportional to 497.31, 686.31 and 331.59 is: 457.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.31 : 686.31 = 331.59 : x
  2. Step 2: Convert to fraction form
    497.31/686.31 = 331.59/x
  3. Step 3: Cross multiply
    497.31x = 686.31 × 331.59
  4. Step 4: Simplify right side
    497.31x = 227,573.53
  5. Step 5: Solve for x
    x = 227,573.53/497.31
  6. Step 6: Final answer
    x = 457.61

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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.