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Finding the Fourth Proportional to 496.98, 686.37 and 331.89

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Solution

The fourth proportional to 496.98, 686.37 and 331.89 is: 458.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.98 : 686.37 = 331.89 : x
  2. Step 2: Convert to fraction form
    496.98/686.37 = 331.89/x
  3. Step 3: Cross multiply
    496.98x = 686.37 × 331.89
  4. Step 4: Simplify right side
    496.98x = 227,799.34
  5. Step 5: Solve for x
    x = 227,799.34/496.98
  6. Step 6: Final answer
    x = 458.37

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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.