Home / 1,218.19-1,826.33-438.06

Finding the Fourth Proportional to 1,218.19, 1,826.33 and 438.06

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Solution

The fourth proportional to 1,218.19, 1,826.33 and 438.06 is: 656.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.19 : 1,826.33 = 438.06 : x
  2. Step 2: Convert to fraction form
    1,218.19/1,826.33 = 438.06/x
  3. Step 3: Cross multiply
    1,218.19x = 1,826.33 × 438.06
  4. Step 4: Simplify right side
    1,218.19x = 800,042.12
  5. Step 5: Solve for x
    x = 800,042.12/1,218.19
  6. Step 6: Final answer
    x = 656.75

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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.