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Finding the Fourth Proportional to 843.43, 1,163.17 and 528.73

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Solution

The fourth proportional to 843.43, 1,163.17 and 528.73 is: 729.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.43 : 1,163.17 = 528.73 : x
  2. Step 2: Convert to fraction form
    843.43/1,163.17 = 528.73/x
  3. Step 3: Cross multiply
    843.43x = 1,163.17 × 528.73
  4. Step 4: Simplify right side
    843.43x = 615,001.37
  5. Step 5: Solve for x
    x = 615,001.37/843.43
  6. Step 6: Final answer
    x = 729.17

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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.