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Finding the Fourth Proportional to 721.82, 996.36 and 460.20

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Solution

The fourth proportional to 721.82, 996.36 and 460.20 is: 635.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.82 : 996.36 = 460.20 : x
  2. Step 2: Convert to fraction form
    721.82/996.36 = 460.20/x
  3. Step 3: Cross multiply
    721.82x = 996.36 × 460.20
  4. Step 4: Simplify right side
    721.82x = 458,524.87
  5. Step 5: Solve for x
    x = 458,524.87/721.82
  6. Step 6: Final answer
    x = 635.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.