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Finding the Fourth Proportional to 878.22, 1,309.91 and 827.46

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Solution

The fourth proportional to 878.22, 1,309.91 and 827.46 is: 1,234.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.22 : 1,309.91 = 827.46 : x
  2. Step 2: Convert to fraction form
    878.22/1,309.91 = 827.46/x
  3. Step 3: Cross multiply
    878.22x = 1,309.91 × 827.46
  4. Step 4: Simplify right side
    878.22x = 1,083,898.13
  5. Step 5: Solve for x
    x = 1,083,898.13/878.22
  6. Step 6: Final answer
    x = 1,234.20

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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.