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Finding the Fourth Proportional to 481.96, 661.62 and 469.88

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Solution

The fourth proportional to 481.96, 661.62 and 469.88 is: 645.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.96 : 661.62 = 469.88 : x
  2. Step 2: Convert to fraction form
    481.96/661.62 = 469.88/x
  3. Step 3: Cross multiply
    481.96x = 661.62 × 469.88
  4. Step 4: Simplify right side
    481.96x = 310,882.01
  5. Step 5: Solve for x
    x = 310,882.01/481.96
  6. Step 6: Final answer
    x = 645.04

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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.