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Finding the Fourth Proportional to 721.17, 994.96 and 459.33

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Solution

The fourth proportional to 721.17, 994.96 and 459.33 is: 633.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.17 : 994.96 = 459.33 : x
  2. Step 2: Convert to fraction form
    721.17/994.96 = 459.33/x
  3. Step 3: Cross multiply
    721.17x = 994.96 × 459.33
  4. Step 4: Simplify right side
    721.17x = 457,013.83
  5. Step 5: Solve for x
    x = 457,013.83/721.17
  6. Step 6: Final answer
    x = 633.71

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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.