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Finding the Fourth Proportional to 550.37, 824.92 and 334.09

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Solution

The fourth proportional to 550.37, 824.92 and 334.09 is: 500.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.37 : 824.92 = 334.09 : x
  2. Step 2: Convert to fraction form
    550.37/824.92 = 334.09/x
  3. Step 3: Cross multiply
    550.37x = 824.92 × 334.09
  4. Step 4: Simplify right side
    550.37x = 275,595.85
  5. Step 5: Solve for x
    x = 275,595.85/550.37
  6. Step 6: Final answer
    x = 500.75

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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.