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Finding the Fourth Proportional to 739.44, 1,020.96 and 565.92

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Solution

The fourth proportional to 739.44, 1,020.96 and 565.92 is: 781.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.44 : 1,020.96 = 565.92 : x
  2. Step 2: Convert to fraction form
    739.44/1,020.96 = 565.92/x
  3. Step 3: Cross multiply
    739.44x = 1,020.96 × 565.92
  4. Step 4: Simplify right side
    739.44x = 577,781.68
  5. Step 5: Solve for x
    x = 577,781.68/739.44
  6. Step 6: Final answer
    x = 781.38

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Double scale
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1.5x scale

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.