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Finding the Fourth Proportional to 462.97, 692.70 and 394.66

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Solution

The fourth proportional to 462.97, 692.70 and 394.66 is: 590.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.97 : 692.70 = 394.66 : x
  2. Step 2: Convert to fraction form
    462.97/692.70 = 394.66/x
  3. Step 3: Cross multiply
    462.97x = 692.70 × 394.66
  4. Step 4: Simplify right side
    462.97x = 273,380.98
  5. Step 5: Solve for x
    x = 273,380.98/462.97
  6. Step 6: Final answer
    x = 590.49

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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.