Home / 1,218.33-1,826.40-438.15

Finding the Fourth Proportional to 1,218.33, 1,826.40 and 438.15

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Solution

The fourth proportional to 1,218.33, 1,826.40 and 438.15 is: 656.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.33 : 1,826.40 = 438.15 : x
  2. Step 2: Convert to fraction form
    1,218.33/1,826.40 = 438.15/x
  3. Step 3: Cross multiply
    1,218.33x = 1,826.40 × 438.15
  4. Step 4: Simplify right side
    1,218.33x = 800,238.80
  5. Step 5: Solve for x
    x = 800,238.80/1,218.33
  6. Step 6: Final answer
    x = 656.83

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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.