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Finding the Fourth Proportional to 878.86, 1,311.22 and 837.58

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Solution

The fourth proportional to 878.86, 1,311.22 and 837.58 is: 1,249.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.86 : 1,311.22 = 837.58 : x
  2. Step 2: Convert to fraction form
    878.86/1,311.22 = 837.58/x
  3. Step 3: Cross multiply
    878.86x = 1,311.22 × 837.58
  4. Step 4: Simplify right side
    878.86x = 1,098,251.65
  5. Step 5: Solve for x
    x = 1,098,251.65/878.86
  6. Step 6: Final answer
    x = 1,249.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.