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Finding the Fourth Proportional to 721.01, 994.98 and 406.27

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Solution

The fourth proportional to 721.01, 994.98 and 406.27 is: 560.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.01 : 994.98 = 406.27 : x
  2. Step 2: Convert to fraction form
    721.01/994.98 = 406.27/x
  3. Step 3: Cross multiply
    721.01x = 994.98 × 406.27
  4. Step 4: Simplify right side
    721.01x = 404,233.29
  5. Step 5: Solve for x
    x = 404,233.29/721.01
  6. Step 6: Final answer
    x = 560.65

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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.