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Finding the Fourth Proportional to 721.89, 996.18 and 459.90

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Solution

The fourth proportional to 721.89, 996.18 and 459.90 is: 634.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.89 : 996.18 = 459.90 : x
  2. Step 2: Convert to fraction form
    721.89/996.18 = 459.90/x
  3. Step 3: Cross multiply
    721.89x = 996.18 × 459.90
  4. Step 4: Simplify right side
    721.89x = 458,143.18
  5. Step 5: Solve for x
    x = 458,143.18/721.89
  6. Step 6: Final answer
    x = 634.64

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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.