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Finding the Fourth Proportional to 550.52, 823.80 and 345.20

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Solution

The fourth proportional to 550.52, 823.80 and 345.20 is: 516.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.52 : 823.80 = 345.20 : x
  2. Step 2: Convert to fraction form
    550.52/823.80 = 345.20/x
  3. Step 3: Cross multiply
    550.52x = 823.80 × 345.20
  4. Step 4: Simplify right side
    550.52x = 284,375.76
  5. Step 5: Solve for x
    x = 284,375.76/550.52
  6. Step 6: Final answer
    x = 516.56

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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.