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Finding the Fourth Proportional to 481.72, 665.09 and 371.02

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Solution

The fourth proportional to 481.72, 665.09 and 371.02 is: 512.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.72 : 665.09 = 371.02 : x
  2. Step 2: Convert to fraction form
    481.72/665.09 = 371.02/x
  3. Step 3: Cross multiply
    481.72x = 665.09 × 371.02
  4. Step 4: Simplify right side
    481.72x = 246,761.69
  5. Step 5: Solve for x
    x = 246,761.69/481.72
  6. Step 6: Final answer
    x = 512.25

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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.