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Finding the Fourth Proportional to 750.80, 1,125.56 and 674

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Solution

The fourth proportional to 750.80, 1,125.56 and 674 is: 1,010.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.80 : 1,125.56 = 674 : x
  2. Step 2: Convert to fraction form
    750.80/1,125.56 = 674/x
  3. Step 3: Cross multiply
    750.80x = 1,125.56 × 674
  4. Step 4: Simplify right side
    750.80x = 758,627.44
  5. Step 5: Solve for x
    x = 758,627.44/750.80
  6. Step 6: Final answer
    x = 1,010.43

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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.