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Finding the Fourth Proportional to 827.98, 1,242.56 and 480.85

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Solution

The fourth proportional to 827.98, 1,242.56 and 480.85 is: 721.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.98 : 1,242.56 = 480.85 : x
  2. Step 2: Convert to fraction form
    827.98/1,242.56 = 480.85/x
  3. Step 3: Cross multiply
    827.98x = 1,242.56 × 480.85
  4. Step 4: Simplify right side
    827.98x = 597,478.76
  5. Step 5: Solve for x
    x = 597,478.76/827.98
  6. Step 6: Final answer
    x = 721.61

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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.