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Finding the Fourth Proportional to 731.16, 1,009.44 and 727.92

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Solution

The fourth proportional to 731.16, 1,009.44 and 727.92 is: 1,004.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.16 : 1,009.44 = 727.92 : x
  2. Step 2: Convert to fraction form
    731.16/1,009.44 = 727.92/x
  3. Step 3: Cross multiply
    731.16x = 1,009.44 × 727.92
  4. Step 4: Simplify right side
    731.16x = 734,791.56
  5. Step 5: Solve for x
    x = 734,791.56/731.16
  6. Step 6: Final answer
    x = 1,004.97

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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.