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Finding the Fourth Proportional to 1,230.22, 1,845.32 and 408.55

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Solution

The fourth proportional to 1,230.22, 1,845.32 and 408.55 is: 612.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.22 : 1,845.32 = 408.55 : x
  2. Step 2: Convert to fraction form
    1,230.22/1,845.32 = 408.55/x
  3. Step 3: Cross multiply
    1,230.22x = 1,845.32 × 408.55
  4. Step 4: Simplify right side
    1,230.22x = 753,903.44
  5. Step 5: Solve for x
    x = 753,903.44/1,230.22
  6. Step 6: Final answer
    x = 612.82

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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.