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Finding the Fourth Proportional to 843.38, 1,164.18 and 724.88

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Solution

The fourth proportional to 843.38, 1,164.18 and 724.88 is: 1,000.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.38 : 1,164.18 = 724.88 : x
  2. Step 2: Convert to fraction form
    843.38/1,164.18 = 724.88/x
  3. Step 3: Cross multiply
    843.38x = 1,164.18 × 724.88
  4. Step 4: Simplify right side
    843.38x = 843,896.43
  5. Step 5: Solve for x
    x = 843,896.43/843.38
  6. Step 6: Final answer
    x = 1,000.61

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1.5x scale

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.