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Finding the Fourth Proportional to 727.24, 1,096.27 and 685.48

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Solution

The fourth proportional to 727.24, 1,096.27 and 685.48 is: 1,033.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.24 : 1,096.27 = 685.48 : x
  2. Step 2: Convert to fraction form
    727.24/1,096.27 = 685.48/x
  3. Step 3: Cross multiply
    727.24x = 1,096.27 × 685.48
  4. Step 4: Simplify right side
    727.24x = 751,471.16
  5. Step 5: Solve for x
    x = 751,471.16/727.24
  6. Step 6: Final answer
    x = 1,033.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.