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Finding the Fourth Proportional to 481.88, 661.89 and 472.66

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Solution

The fourth proportional to 481.88, 661.89 and 472.66 is: 649.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.88 : 661.89 = 472.66 : x
  2. Step 2: Convert to fraction form
    481.88/661.89 = 472.66/x
  3. Step 3: Cross multiply
    481.88x = 661.89 × 472.66
  4. Step 4: Simplify right side
    481.88x = 312,843.25
  5. Step 5: Solve for x
    x = 312,843.25/481.88
  6. Step 6: Final answer
    x = 649.21

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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.