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Finding the Fourth Proportional to 750.27, 1,034.67 and 470.42

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Solution

The fourth proportional to 750.27, 1,034.67 and 470.42 is: 648.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.27 : 1,034.67 = 470.42 : x
  2. Step 2: Convert to fraction form
    750.27/1,034.67 = 470.42/x
  3. Step 3: Cross multiply
    750.27x = 1,034.67 × 470.42
  4. Step 4: Simplify right side
    750.27x = 486,724.29
  5. Step 5: Solve for x
    x = 486,724.29/750.27
  6. Step 6: Final answer
    x = 648.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.