Home / 1,230.25-1,845.15-408.43

Finding the Fourth Proportional to 1,230.25, 1,845.15 and 408.43

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Solution

The fourth proportional to 1,230.25, 1,845.15 and 408.43 is: 612.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.25 : 1,845.15 = 408.43 : x
  2. Step 2: Convert to fraction form
    1,230.25/1,845.15 = 408.43/x
  3. Step 3: Cross multiply
    1,230.25x = 1,845.15 × 408.43
  4. Step 4: Simplify right side
    1,230.25x = 753,614.61
  5. Step 5: Solve for x
    x = 753,614.61/1,230.25
  6. Step 6: Final answer
    x = 612.57

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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.