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Finding the Fourth Proportional to 721.97, 996.24 and 407.20

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Solution

The fourth proportional to 721.97, 996.24 and 407.20 is: 561.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.97 : 996.24 = 407.20 : x
  2. Step 2: Convert to fraction form
    721.97/996.24 = 407.20/x
  3. Step 3: Cross multiply
    721.97x = 996.24 × 407.20
  4. Step 4: Simplify right side
    721.97x = 405,671.70
  5. Step 5: Solve for x
    x = 405,671.70/721.97
  6. Step 6: Final answer
    x = 561.90

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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.