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Finding the Fourth Proportional to 481.64, 663.54 and 393.80

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Solution

The fourth proportional to 481.64, 663.54 and 393.80 is: 542.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.64 : 663.54 = 393.80 : x
  2. Step 2: Convert to fraction form
    481.64/663.54 = 393.80/x
  3. Step 3: Cross multiply
    481.64x = 663.54 × 393.80
  4. Step 4: Simplify right side
    481.64x = 261,302.05
  5. Step 5: Solve for x
    x = 261,302.05/481.64
  6. Step 6: Final answer
    x = 542.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.