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Finding the Fourth Proportional to 827.29, 1,234.12 and 768.36

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Solution

The fourth proportional to 827.29, 1,234.12 and 768.36 is: 1,146.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.29 : 1,234.12 = 768.36 : x
  2. Step 2: Convert to fraction form
    827.29/1,234.12 = 768.36/x
  3. Step 3: Cross multiply
    827.29x = 1,234.12 × 768.36
  4. Step 4: Simplify right side
    827.29x = 948,248.44
  5. Step 5: Solve for x
    x = 948,248.44/827.29
  6. Step 6: Final answer
    x = 1,146.21

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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.