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Finding the Fourth Proportional to 496.20, 744.32 and 414.80

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Solution

The fourth proportional to 496.20, 744.32 and 414.80 is: 622.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.20 : 744.32 = 414.80 : x
  2. Step 2: Convert to fraction form
    496.20/744.32 = 414.80/x
  3. Step 3: Cross multiply
    496.20x = 744.32 × 414.80
  4. Step 4: Simplify right side
    496.20x = 308,743.94
  5. Step 5: Solve for x
    x = 308,743.94/496.20
  6. Step 6: Final answer
    x = 622.22

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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.