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Finding the Fourth Proportional to 789.53, 1,081.66 and 759.97

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Solution

The fourth proportional to 789.53, 1,081.66 and 759.97 is: 1,041.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.53 : 1,081.66 = 759.97 : x
  2. Step 2: Convert to fraction form
    789.53/1,081.66 = 759.97/x
  3. Step 3: Cross multiply
    789.53x = 1,081.66 × 759.97
  4. Step 4: Simplify right side
    789.53x = 822,024.55
  5. Step 5: Solve for x
    x = 822,024.55/789.53
  6. Step 6: Final answer
    x = 1,041.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.