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Finding the Fourth Proportional to 462.77, 691.35 and 331.73

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Solution

The fourth proportional to 462.77, 691.35 and 331.73 is: 495.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.77 : 691.35 = 331.73 : x
  2. Step 2: Convert to fraction form
    462.77/691.35 = 331.73/x
  3. Step 3: Cross multiply
    462.77x = 691.35 × 331.73
  4. Step 4: Simplify right side
    462.77x = 229,339.88
  5. Step 5: Solve for x
    x = 229,339.88/462.77
  6. Step 6: Final answer
    x = 495.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.