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Finding the Fourth Proportional to 463.32, 643.82 and 458.26

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Solution

The fourth proportional to 463.32, 643.82 and 458.26 is: 636.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.32 : 643.82 = 458.26 : x
  2. Step 2: Convert to fraction form
    463.32/643.82 = 458.26/x
  3. Step 3: Cross multiply
    463.32x = 643.82 × 458.26
  4. Step 4: Simplify right side
    463.32x = 295,033.05
  5. Step 5: Solve for x
    x = 295,033.05/463.32
  6. Step 6: Final answer
    x = 636.78

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.