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Finding the Fourth Proportional to 1,229.96, 1,845.03 and 408.25

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Solution

The fourth proportional to 1,229.96, 1,845.03 and 408.25 is: 612.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.96 : 1,845.03 = 408.25 : x
  2. Step 2: Convert to fraction form
    1,229.96/1,845.03 = 408.25/x
  3. Step 3: Cross multiply
    1,229.96x = 1,845.03 × 408.25
  4. Step 4: Simplify right side
    1,229.96x = 753,237.33
  5. Step 5: Solve for x
    x = 753,237.33/1,229.96
  6. Step 6: Final answer
    x = 612.41

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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.