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Finding the Fourth Proportional to 550.98, 824.94 and 499.73

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Solution

The fourth proportional to 550.98, 824.94 and 499.73 is: 748.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.98 : 824.94 = 499.73 : x
  2. Step 2: Convert to fraction form
    550.98/824.94 = 499.73/x
  3. Step 3: Cross multiply
    550.98x = 824.94 × 499.73
  4. Step 4: Simplify right side
    550.98x = 412,243.14
  5. Step 5: Solve for x
    x = 412,243.14/550.98
  6. Step 6: Final answer
    x = 748.20

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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.