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Finding the Fourth Proportional to 750.41, 1,119.20 and 724.28

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Solution

The fourth proportional to 750.41, 1,119.20 and 724.28 is: 1,080.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.41 : 1,119.20 = 724.28 : x
  2. Step 2: Convert to fraction form
    750.41/1,119.20 = 724.28/x
  3. Step 3: Cross multiply
    750.41x = 1,119.20 × 724.28
  4. Step 4: Simplify right side
    750.41x = 810,613.35
  5. Step 5: Solve for x
    x = 810,613.35/750.41
  6. Step 6: Final answer
    x = 1,080.23

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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.