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Finding the Fourth Proportional to 843.25, 1,164.20 and 563.91

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Solution

The fourth proportional to 843.25, 1,164.20 and 563.91 is: 778.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.25 : 1,164.20 = 563.91 : x
  2. Step 2: Convert to fraction form
    843.25/1,164.20 = 563.91/x
  3. Step 3: Cross multiply
    843.25x = 1,164.20 × 563.91
  4. Step 4: Simplify right side
    843.25x = 656,504.97
  5. Step 5: Solve for x
    x = 656,504.97/843.25
  6. Step 6: Final answer
    x = 778.54

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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.