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Finding the Fourth Proportional to 481.68, 660.96 and 462.24

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Solution

The fourth proportional to 481.68, 660.96 and 462.24 is: 634.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.68 : 660.96 = 462.24 : x
  2. Step 2: Convert to fraction form
    481.68/660.96 = 462.24/x
  3. Step 3: Cross multiply
    481.68x = 660.96 × 462.24
  4. Step 4: Simplify right side
    481.68x = 305,522.15
  5. Step 5: Solve for x
    x = 305,522.15/481.68
  6. Step 6: Final answer
    x = 634.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.