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Finding the Fourth Proportional to 828.88, 1,234.82 and 791.44

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Solution

The fourth proportional to 828.88, 1,234.82 and 791.44 is: 1,179.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.88 : 1,234.82 = 791.44 : x
  2. Step 2: Convert to fraction form
    828.88/1,234.82 = 791.44/x
  3. Step 3: Cross multiply
    828.88x = 1,234.82 × 791.44
  4. Step 4: Simplify right side
    828.88x = 977,285.94
  5. Step 5: Solve for x
    x = 977,285.94/828.88
  6. Step 6: Final answer
    x = 1,179.04

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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.