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Finding the Fourth Proportional to 481.28, 663.58 and 406.46

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Solution

The fourth proportional to 481.28, 663.58 and 406.46 is: 560.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.28 : 663.58 = 406.46 : x
  2. Step 2: Convert to fraction form
    481.28/663.58 = 406.46/x
  3. Step 3: Cross multiply
    481.28x = 663.58 × 406.46
  4. Step 4: Simplify right side
    481.28x = 269,717.87
  5. Step 5: Solve for x
    x = 269,717.87/481.28
  6. Step 6: Final answer
    x = 560.42

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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.