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Finding the Fourth Proportional to 837.19, 1,255.36 and 281.71

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Solution

The fourth proportional to 837.19, 1,255.36 and 281.71 is: 422.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.19 : 1,255.36 = 281.71 : x
  2. Step 2: Convert to fraction form
    837.19/1,255.36 = 281.71/x
  3. Step 3: Cross multiply
    837.19x = 1,255.36 × 281.71
  4. Step 4: Simplify right side
    837.19x = 353,647.47
  5. Step 5: Solve for x
    x = 353,647.47/837.19
  6. Step 6: Final answer
    x = 422.42

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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.