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Finding the Fourth Proportional to 462.11, 692.15 and 392.86

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Solution

The fourth proportional to 462.11, 692.15 and 392.86 is: 588.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.11 : 692.15 = 392.86 : x
  2. Step 2: Convert to fraction form
    462.11/692.15 = 392.86/x
  3. Step 3: Cross multiply
    462.11x = 692.15 × 392.86
  4. Step 4: Simplify right side
    462.11x = 271,917.30
  5. Step 5: Solve for x
    x = 271,917.30/462.11
  6. Step 6: Final answer
    x = 588.42

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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.