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Finding the Fourth Proportional to 463.26, 635.95 and 397.65

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Solution

The fourth proportional to 463.26, 635.95 and 397.65 is: 545.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.26 : 635.95 = 397.65 : x
  2. Step 2: Convert to fraction form
    463.26/635.95 = 397.65/x
  3. Step 3: Cross multiply
    463.26x = 635.95 × 397.65
  4. Step 4: Simplify right side
    463.26x = 252,880.35
  5. Step 5: Solve for x
    x = 252,880.35/463.26
  6. Step 6: Final answer
    x = 545.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.