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Finding the Fourth Proportional to 550.38, 824.19 and 377.24

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Solution

The fourth proportional to 550.38, 824.19 and 377.24 is: 564.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.38 : 824.19 = 377.24 : x
  2. Step 2: Convert to fraction form
    550.38/824.19 = 377.24/x
  3. Step 3: Cross multiply
    550.38x = 824.19 × 377.24
  4. Step 4: Simplify right side
    550.38x = 310,917.44
  5. Step 5: Solve for x
    x = 310,917.44/550.38
  6. Step 6: Final answer
    x = 564.91

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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.