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Finding the Fourth Proportional to 462.66, 694.17 and 394.38

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Solution

The fourth proportional to 462.66, 694.17 and 394.38 is: 591.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.66 : 694.17 = 394.38 : x
  2. Step 2: Convert to fraction form
    462.66/694.17 = 394.38/x
  3. Step 3: Cross multiply
    462.66x = 694.17 × 394.38
  4. Step 4: Simplify right side
    462.66x = 273,766.76
  5. Step 5: Solve for x
    x = 273,766.76/462.66
  6. Step 6: Final answer
    x = 591.72

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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.