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Finding the Fourth Proportional to 836.78, 1,255.14 and 398.25

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Solution

The fourth proportional to 836.78, 1,255.14 and 398.25 is: 597.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.78 : 1,255.14 = 398.25 : x
  2. Step 2: Convert to fraction form
    836.78/1,255.14 = 398.25/x
  3. Step 3: Cross multiply
    836.78x = 1,255.14 × 398.25
  4. Step 4: Simplify right side
    836.78x = 499,854.80
  5. Step 5: Solve for x
    x = 499,854.80/836.78
  6. Step 6: Final answer
    x = 597.35

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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.