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Finding the Fourth Proportional to 721.91, 1,083.38 and 539.66

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Solution

The fourth proportional to 721.91, 1,083.38 and 539.66 is: 809.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.91 : 1,083.38 = 539.66 : x
  2. Step 2: Convert to fraction form
    721.91/1,083.38 = 539.66/x
  3. Step 3: Cross multiply
    721.91x = 1,083.38 × 539.66
  4. Step 4: Simplify right side
    721.91x = 584,656.86
  5. Step 5: Solve for x
    x = 584,656.86/721.91
  6. Step 6: Final answer
    x = 809.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.