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Finding the Fourth Proportional to 823.96, 1,234.86 and 787.24

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Solution

The fourth proportional to 823.96, 1,234.86 and 787.24 is: 1,179.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.96 : 1,234.86 = 787.24 : x
  2. Step 2: Convert to fraction form
    823.96/1,234.86 = 787.24/x
  3. Step 3: Cross multiply
    823.96x = 1,234.86 × 787.24
  4. Step 4: Simplify right side
    823.96x = 972,131.19
  5. Step 5: Solve for x
    x = 972,131.19/823.96
  6. Step 6: Final answer
    x = 1,179.83

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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.