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Finding the Fourth Proportional to 550.27, 824.49 and 387.61

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Solution

The fourth proportional to 550.27, 824.49 and 387.61 is: 580.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.27 : 824.49 = 387.61 : x
  2. Step 2: Convert to fraction form
    550.27/824.49 = 387.61/x
  3. Step 3: Cross multiply
    550.27x = 824.49 × 387.61
  4. Step 4: Simplify right side
    550.27x = 319,580.57
  5. Step 5: Solve for x
    x = 319,580.57/550.27
  6. Step 6: Final answer
    x = 580.77

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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.