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Finding the Fourth Proportional to 606.33, 908.42 and 461.61

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Solution

The fourth proportional to 606.33, 908.42 and 461.61 is: 691.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.33 : 908.42 = 461.61 : x
  2. Step 2: Convert to fraction form
    606.33/908.42 = 461.61/x
  3. Step 3: Cross multiply
    606.33x = 908.42 × 461.61
  4. Step 4: Simplify right side
    606.33x = 419,333.45
  5. Step 5: Solve for x
    x = 419,333.45/606.33
  6. Step 6: Final answer
    x = 691.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.