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Finding the Fourth Proportional to 908.67, 1,361.46 and 414.26

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Solution

The fourth proportional to 908.67, 1,361.46 and 414.26 is: 620.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.67 : 1,361.46 = 414.26 : x
  2. Step 2: Convert to fraction form
    908.67/1,361.46 = 414.26/x
  3. Step 3: Cross multiply
    908.67x = 1,361.46 × 414.26
  4. Step 4: Simplify right side
    908.67x = 564,003.60
  5. Step 5: Solve for x
    x = 564,003.60/908.67
  6. Step 6: Final answer
    x = 620.69

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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.