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Finding the Fourth Proportional to 497.34, 686.61 and 331.79

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Solution

The fourth proportional to 497.34, 686.61 and 331.79 is: 458.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.34 : 686.61 = 331.79 : x
  2. Step 2: Convert to fraction form
    497.34/686.61 = 331.79/x
  3. Step 3: Cross multiply
    497.34x = 686.61 × 331.79
  4. Step 4: Simplify right side
    497.34x = 227,806.90
  5. Step 5: Solve for x
    x = 227,806.90/497.34
  6. Step 6: Final answer
    x = 458.05

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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.