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Finding the Fourth Proportional to 462.39, 692.68 and 346.97

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Solution

The fourth proportional to 462.39, 692.68 and 346.97 is: 519.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.39 : 692.68 = 346.97 : x
  2. Step 2: Convert to fraction form
    462.39/692.68 = 346.97/x
  3. Step 3: Cross multiply
    462.39x = 692.68 × 346.97
  4. Step 4: Simplify right side
    462.39x = 240,333.98
  5. Step 5: Solve for x
    x = 240,333.98/462.39
  6. Step 6: Final answer
    x = 519.76

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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.