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Finding the Fourth Proportional to 463.42, 635.46 and 447.89

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Solution

The fourth proportional to 463.42, 635.46 and 447.89 is: 614.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.42 : 635.46 = 447.89 : x
  2. Step 2: Convert to fraction form
    463.42/635.46 = 447.89/x
  3. Step 3: Cross multiply
    463.42x = 635.46 × 447.89
  4. Step 4: Simplify right side
    463.42x = 284,613.94
  5. Step 5: Solve for x
    x = 284,613.94/463.42
  6. Step 6: Final answer
    x = 614.17

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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.