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Finding the Fourth Proportional to 836.29, 1,254.41 and 397.86

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Solution

The fourth proportional to 836.29, 1,254.41 and 397.86 is: 596.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.29 : 1,254.41 = 397.86 : x
  2. Step 2: Convert to fraction form
    836.29/1,254.41 = 397.86/x
  3. Step 3: Cross multiply
    836.29x = 1,254.41 × 397.86
  4. Step 4: Simplify right side
    836.29x = 499,079.56
  5. Step 5: Solve for x
    x = 499,079.56/836.29
  6. Step 6: Final answer
    x = 596.78

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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.