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Finding the Fourth Proportional to 720.22, 1,079.31 and 411.61

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Solution

The fourth proportional to 720.22, 1,079.31 and 411.61 is: 616.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.22 : 1,079.31 = 411.61 : x
  2. Step 2: Convert to fraction form
    720.22/1,079.31 = 411.61/x
  3. Step 3: Cross multiply
    720.22x = 1,079.31 × 411.61
  4. Step 4: Simplify right side
    720.22x = 444,253.63
  5. Step 5: Solve for x
    x = 444,253.63/720.22
  6. Step 6: Final answer
    x = 616.83

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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.