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Finding the Fourth Proportional to 481.82, 721.71 and 416.75

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Solution

The fourth proportional to 481.82, 721.71 and 416.75 is: 624.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.82 : 721.71 = 416.75 : x
  2. Step 2: Convert to fraction form
    481.82/721.71 = 416.75/x
  3. Step 3: Cross multiply
    481.82x = 721.71 × 416.75
  4. Step 4: Simplify right side
    481.82x = 300,769.03
  5. Step 5: Solve for x
    x = 300,769.03/481.82
  6. Step 6: Final answer
    x = 624.24

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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.