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Finding the Fourth Proportional to 837.11, 1,255.75 and 281.80

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Solution

The fourth proportional to 837.11, 1,255.75 and 281.80 is: 422.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.11 : 1,255.75 = 281.80 : x
  2. Step 2: Convert to fraction form
    837.11/1,255.75 = 281.80/x
  3. Step 3: Cross multiply
    837.11x = 1,255.75 × 281.80
  4. Step 4: Simplify right side
    837.11x = 353,876.33
  5. Step 5: Solve for x
    x = 353,876.33/837.11
  6. Step 6: Final answer
    x = 422.74

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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.