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Finding the Fourth Proportional to 1,100.33, 1,641.22 and 1,023.78

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Solution

The fourth proportional to 1,100.33, 1,641.22 and 1,023.78 is: 1,527.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.33 : 1,641.22 = 1,023.78 : x
  2. Step 2: Convert to fraction form
    1,100.33/1,641.22 = 1,023.78/x
  3. Step 3: Cross multiply
    1,100.33x = 1,641.22 × 1,023.78
  4. Step 4: Simplify right side
    1,100.33x = 1,680,243.09
  5. Step 5: Solve for x
    x = 1,680,243.09/1,100.33
  6. Step 6: Final answer
    x = 1,527.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.