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Finding the Fourth Proportional to 462.49, 692.31 and 331.27

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Solution

The fourth proportional to 462.49, 692.31 and 331.27 is: 495.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.49 : 692.31 = 331.27 : x
  2. Step 2: Convert to fraction form
    462.49/692.31 = 331.27/x
  3. Step 3: Cross multiply
    462.49x = 692.31 × 331.27
  4. Step 4: Simplify right side
    462.49x = 229,341.53
  5. Step 5: Solve for x
    x = 229,341.53/462.49
  6. Step 6: Final answer
    x = 495.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.