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Finding the Fourth Proportional to 837.44, 1,255.44 and 425.84

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Solution

The fourth proportional to 837.44, 1,255.44 and 425.84 is: 638.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.44 : 1,255.44 = 425.84 : x
  2. Step 2: Convert to fraction form
    837.44/1,255.44 = 425.84/x
  3. Step 3: Cross multiply
    837.44x = 1,255.44 × 425.84
  4. Step 4: Simplify right side
    837.44x = 534,616.57
  5. Step 5: Solve for x
    x = 534,616.57/837.44
  6. Step 6: Final answer
    x = 638.39

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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.