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Finding the Fourth Proportional to 871.43, 1,308.56 and 827.57

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Solution

The fourth proportional to 871.43, 1,308.56 and 827.57 is: 1,242.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.43 : 1,308.56 = 827.57 : x
  2. Step 2: Convert to fraction form
    871.43/1,308.56 = 827.57/x
  3. Step 3: Cross multiply
    871.43x = 1,308.56 × 827.57
  4. Step 4: Simplify right side
    871.43x = 1,082,924.13
  5. Step 5: Solve for x
    x = 1,082,924.13/871.43
  6. Step 6: Final answer
    x = 1,242.70

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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.