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Finding the Fourth Proportional to 496.30, 742.26 and 441.85

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Solution

The fourth proportional to 496.30, 742.26 and 441.85 is: 660.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.30 : 742.26 = 441.85 : x
  2. Step 2: Convert to fraction form
    496.30/742.26 = 441.85/x
  3. Step 3: Cross multiply
    496.30x = 742.26 × 441.85
  4. Step 4: Simplify right side
    496.30x = 327,967.58
  5. Step 5: Solve for x
    x = 327,967.58/496.30
  6. Step 6: Final answer
    x = 660.83

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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.