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Finding the Fourth Proportional to 721.59, 1,081.69 and 460.85

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Solution

The fourth proportional to 721.59, 1,081.69 and 460.85 is: 690.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.59 : 1,081.69 = 460.85 : x
  2. Step 2: Convert to fraction form
    721.59/1,081.69 = 460.85/x
  3. Step 3: Cross multiply
    721.59x = 1,081.69 × 460.85
  4. Step 4: Simplify right side
    721.59x = 498,496.84
  5. Step 5: Solve for x
    x = 498,496.84/721.59
  6. Step 6: Final answer
    x = 690.83

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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.