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Finding the Fourth Proportional to 550.50, 822.71 and 441.78

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Solution

The fourth proportional to 550.50, 822.71 and 441.78 is: 660.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.50 : 822.71 = 441.78 : x
  2. Step 2: Convert to fraction form
    550.50/822.71 = 441.78/x
  3. Step 3: Cross multiply
    550.50x = 822.71 × 441.78
  4. Step 4: Simplify right side
    550.50x = 363,454.61
  5. Step 5: Solve for x
    x = 363,454.61/550.50
  6. Step 6: Final answer
    x = 660.23

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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.