Home / 1,218.14-1,826.97-438.12

Finding the Fourth Proportional to 1,218.14, 1,826.97 and 438.12

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Solution

The fourth proportional to 1,218.14, 1,826.97 and 438.12 is: 657.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.14 : 1,826.97 = 438.12 : x
  2. Step 2: Convert to fraction form
    1,218.14/1,826.97 = 438.12/x
  3. Step 3: Cross multiply
    1,218.14x = 1,826.97 × 438.12
  4. Step 4: Simplify right side
    1,218.14x = 800,432.10
  5. Step 5: Solve for x
    x = 800,432.10/1,218.14
  6. Step 6: Final answer
    x = 657.09

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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.