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Finding the Fourth Proportional to 481.49, 721.73 and 327.41

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Solution

The fourth proportional to 481.49, 721.73 and 327.41 is: 490.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.49 : 721.73 = 327.41 : x
  2. Step 2: Convert to fraction form
    481.49/721.73 = 327.41/x
  3. Step 3: Cross multiply
    481.49x = 721.73 × 327.41
  4. Step 4: Simplify right side
    481.49x = 236,296.37
  5. Step 5: Solve for x
    x = 236,296.37/481.49
  6. Step 6: Final answer
    x = 490.77

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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.