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Finding the Fourth Proportional to 463.82, 635.42 and 446.27

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Solution

The fourth proportional to 463.82, 635.42 and 446.27 is: 611.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.82 : 635.42 = 446.27 : x
  2. Step 2: Convert to fraction form
    463.82/635.42 = 446.27/x
  3. Step 3: Cross multiply
    463.82x = 635.42 × 446.27
  4. Step 4: Simplify right side
    463.82x = 283,564.60
  5. Step 5: Solve for x
    x = 283,564.60/463.82
  6. Step 6: Final answer
    x = 611.37

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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.