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Finding the Fourth Proportional to 550.80, 827.82 and 490.86

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Solution

The fourth proportional to 550.80, 827.82 and 490.86 is: 737.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.80 : 827.82 = 490.86 : x
  2. Step 2: Convert to fraction form
    550.80/827.82 = 490.86/x
  3. Step 3: Cross multiply
    550.80x = 827.82 × 490.86
  4. Step 4: Simplify right side
    550.80x = 406,343.73
  5. Step 5: Solve for x
    x = 406,343.73/550.80
  6. Step 6: Final answer
    x = 737.73

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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.