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Finding the Fourth Proportional to 843.12, 1,263.31 and 727.28

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Solution

The fourth proportional to 843.12, 1,263.31 and 727.28 is: 1,089.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.12 : 1,263.31 = 727.28 : x
  2. Step 2: Convert to fraction form
    843.12/1,263.31 = 727.28/x
  3. Step 3: Cross multiply
    843.12x = 1,263.31 × 727.28
  4. Step 4: Simplify right side
    843.12x = 918,776.70
  5. Step 5: Solve for x
    x = 918,776.70/843.12
  6. Step 6: Final answer
    x = 1,089.73

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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.