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Finding the Fourth Proportional to 550.50, 824.72 and 276.27

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Solution

The fourth proportional to 550.50, 824.72 and 276.27 is: 413.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.50 : 824.72 = 276.27 : x
  2. Step 2: Convert to fraction form
    550.50/824.72 = 276.27/x
  3. Step 3: Cross multiply
    550.50x = 824.72 × 276.27
  4. Step 4: Simplify right side
    550.50x = 227,845.39
  5. Step 5: Solve for x
    x = 227,845.39/550.50
  6. Step 6: Final answer
    x = 413.89

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1.5x scale

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.