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Finding the Fourth Proportional to 836.85, 1,254.65 and 397.83

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Solution

The fourth proportional to 836.85, 1,254.65 and 397.83 is: 596.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.85 : 1,254.65 = 397.83 : x
  2. Step 2: Convert to fraction form
    836.85/1,254.65 = 397.83/x
  3. Step 3: Cross multiply
    836.85x = 1,254.65 × 397.83
  4. Step 4: Simplify right side
    836.85x = 499,135.42
  5. Step 5: Solve for x
    x = 499,135.42/836.85
  6. Step 6: Final answer
    x = 596.45

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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.