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Finding the Fourth Proportional to 550.72, 824.23 and 319.27

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Solution

The fourth proportional to 550.72, 824.23 and 319.27 is: 477.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.72 : 824.23 = 319.27 : x
  2. Step 2: Convert to fraction form
    550.72/824.23 = 319.27/x
  3. Step 3: Cross multiply
    550.72x = 824.23 × 319.27
  4. Step 4: Simplify right side
    550.72x = 263,147.68
  5. Step 5: Solve for x
    x = 263,147.68/550.72
  6. Step 6: Final answer
    x = 477.82

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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.