Home / 1,230.32-1,845.08-408.38

Finding the Fourth Proportional to 1,230.32, 1,845.08 and 408.38

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Solution

The fourth proportional to 1,230.32, 1,845.08 and 408.38 is: 612.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.32 : 1,845.08 = 408.38 : x
  2. Step 2: Convert to fraction form
    1,230.32/1,845.08 = 408.38/x
  3. Step 3: Cross multiply
    1,230.32x = 1,845.08 × 408.38
  4. Step 4: Simplify right side
    1,230.32x = 753,486.33
  5. Step 5: Solve for x
    x = 753,486.33/1,230.32
  6. Step 6: Final answer
    x = 612.43

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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.