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Finding the Fourth Proportional to 481.12, 659.85 and 461.27

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Solution

The fourth proportional to 481.12, 659.85 and 461.27 is: 632.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.12 : 659.85 = 461.27 : x
  2. Step 2: Convert to fraction form
    481.12/659.85 = 461.27/x
  3. Step 3: Cross multiply
    481.12x = 659.85 × 461.27
  4. Step 4: Simplify right side
    481.12x = 304,370.16
  5. Step 5: Solve for x
    x = 304,370.16/481.12
  6. Step 6: Final answer
    x = 632.63

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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.