Home / 1,245.19-1,867.82-412.27

Finding the Fourth Proportional to 1,245.19, 1,867.82 and 412.27

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Solution

The fourth proportional to 1,245.19, 1,867.82 and 412.27 is: 618.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.19 : 1,867.82 = 412.27 : x
  2. Step 2: Convert to fraction form
    1,245.19/1,867.82 = 412.27/x
  3. Step 3: Cross multiply
    1,245.19x = 1,867.82 × 412.27
  4. Step 4: Simplify right side
    1,245.19x = 770,046.15
  5. Step 5: Solve for x
    x = 770,046.15/1,245.19
  6. Step 6: Final answer
    x = 618.42

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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.