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Finding the Fourth Proportional to 481.41, 660.02 and 472.66

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Solution

The fourth proportional to 481.41, 660.02 and 472.66 is: 648.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.41 : 660.02 = 472.66 : x
  2. Step 2: Convert to fraction form
    481.41/660.02 = 472.66/x
  3. Step 3: Cross multiply
    481.41x = 660.02 × 472.66
  4. Step 4: Simplify right side
    481.41x = 311,961.04
  5. Step 5: Solve for x
    x = 311,961.04/481.41
  6. Step 6: Final answer
    x = 648.02

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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.