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Finding the Fourth Proportional to 843.25, 1,163.81 and 806.35

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Solution

The fourth proportional to 843.25, 1,163.81 and 806.35 is: 1,112.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.25 : 1,163.81 = 806.35 : x
  2. Step 2: Convert to fraction form
    843.25/1,163.81 = 806.35/x
  3. Step 3: Cross multiply
    843.25x = 1,163.81 × 806.35
  4. Step 4: Simplify right side
    843.25x = 938,438.19
  5. Step 5: Solve for x
    x = 938,438.19/843.25
  6. Step 6: Final answer
    x = 1,112.88

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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.