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Finding the Fourth Proportional to 750.86, 1,120.61 and 731.42

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Solution

The fourth proportional to 750.86, 1,120.61 and 731.42 is: 1,091.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.86 : 1,120.61 = 731.42 : x
  2. Step 2: Convert to fraction form
    750.86/1,120.61 = 731.42/x
  3. Step 3: Cross multiply
    750.86x = 1,120.61 × 731.42
  4. Step 4: Simplify right side
    750.86x = 819,627.31
  5. Step 5: Solve for x
    x = 819,627.31/750.86
  6. Step 6: Final answer
    x = 1,091.59

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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.