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Finding the Fourth Proportional to 1,100.61, 1,519.80 and 769.71

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Solution

The fourth proportional to 1,100.61, 1,519.80 and 769.71 is: 1,062.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.61 : 1,519.80 = 769.71 : x
  2. Step 2: Convert to fraction form
    1,100.61/1,519.80 = 769.71/x
  3. Step 3: Cross multiply
    1,100.61x = 1,519.80 × 769.71
  4. Step 4: Simplify right side
    1,100.61x = 1,169,805.26
  5. Step 5: Solve for x
    x = 1,169,805.26/1,100.61
  6. Step 6: Final answer
    x = 1,062.87

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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.