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Finding the Fourth Proportional to 481.38, 722.94 and 444.78

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Solution

The fourth proportional to 481.38, 722.94 and 444.78 is: 667.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.38 : 722.94 = 444.78 : x
  2. Step 2: Convert to fraction form
    481.38/722.94 = 444.78/x
  3. Step 3: Cross multiply
    481.38x = 722.94 × 444.78
  4. Step 4: Simplify right side
    481.38x = 321,549.25
  5. Step 5: Solve for x
    x = 321,549.25/481.38
  6. Step 6: Final answer
    x = 667.97

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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.