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Finding the Fourth Proportional to 727.44, 1,092.21 and 709.02

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Solution

The fourth proportional to 727.44, 1,092.21 and 709.02 is: 1,064.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.44 : 1,092.21 = 709.02 : x
  2. Step 2: Convert to fraction form
    727.44/1,092.21 = 709.02/x
  3. Step 3: Cross multiply
    727.44x = 1,092.21 × 709.02
  4. Step 4: Simplify right side
    727.44x = 774,398.73
  5. Step 5: Solve for x
    x = 774,398.73/727.44
  6. Step 6: Final answer
    x = 1,064.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.