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Finding the Fourth Proportional to 836.62, 1,254.94 and 281.38

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Solution

The fourth proportional to 836.62, 1,254.94 and 281.38 is: 422.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.62 : 1,254.94 = 281.38 : x
  2. Step 2: Convert to fraction form
    836.62/1,254.94 = 281.38/x
  3. Step 3: Cross multiply
    836.62x = 1,254.94 × 281.38
  4. Step 4: Simplify right side
    836.62x = 353,115.02
  5. Step 5: Solve for x
    x = 353,115.02/836.62
  6. Step 6: Final answer
    x = 422.07

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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.