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Finding the Fourth Proportional to 1,100.29, 1,649.12 and 769.43

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Solution

The fourth proportional to 1,100.29, 1,649.12 and 769.43 is: 1,153.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.29 : 1,649.12 = 769.43 : x
  2. Step 2: Convert to fraction form
    1,100.29/1,649.12 = 769.43/x
  3. Step 3: Cross multiply
    1,100.29x = 1,649.12 × 769.43
  4. Step 4: Simplify right side
    1,100.29x = 1,268,874.16
  5. Step 5: Solve for x
    x = 1,268,874.16/1,100.29
  6. Step 6: Final answer
    x = 1,153.22

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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.