Home / 1,214.11-1,819.50-796.78

Finding the Fourth Proportional to 1,214.11, 1,819.50 and 796.78

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Solution

The fourth proportional to 1,214.11, 1,819.50 and 796.78 is: 1,194.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.11 : 1,819.50 = 796.78 : x
  2. Step 2: Convert to fraction form
    1,214.11/1,819.50 = 796.78/x
  3. Step 3: Cross multiply
    1,214.11x = 1,819.50 × 796.78
  4. Step 4: Simplify right side
    1,214.11x = 1,449,741.21
  5. Step 5: Solve for x
    x = 1,449,741.21/1,214.11
  6. Step 6: Final answer
    x = 1,194.08

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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.