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Finding the Fourth Proportional to 461.75, 691.56 and 395.17

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Solution

The fourth proportional to 461.75, 691.56 and 395.17 is: 591.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.75 : 691.56 = 395.17 : x
  2. Step 2: Convert to fraction form
    461.75/691.56 = 395.17/x
  3. Step 3: Cross multiply
    461.75x = 691.56 × 395.17
  4. Step 4: Simplify right side
    461.75x = 273,282.04
  5. Step 5: Solve for x
    x = 273,282.04/461.75
  6. Step 6: Final answer
    x = 591.85

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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.