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Finding the Fourth Proportional to 463.62, 691.17 and 427.08

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Solution

The fourth proportional to 463.62, 691.17 and 427.08 is: 636.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.62 : 691.17 = 427.08 : x
  2. Step 2: Convert to fraction form
    463.62/691.17 = 427.08/x
  3. Step 3: Cross multiply
    463.62x = 691.17 × 427.08
  4. Step 4: Simplify right side
    463.62x = 295,184.88
  5. Step 5: Solve for x
    x = 295,184.88/463.62
  6. Step 6: Final answer
    x = 636.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.