Home / 1,231.20-1,842.19-683.77

Finding the Fourth Proportional to 1,231.20, 1,842.19 and 683.77

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Solution

The fourth proportional to 1,231.20, 1,842.19 and 683.77 is: 1,023.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.20 : 1,842.19 = 683.77 : x
  2. Step 2: Convert to fraction form
    1,231.20/1,842.19 = 683.77/x
  3. Step 3: Cross multiply
    1,231.20x = 1,842.19 × 683.77
  4. Step 4: Simplify right side
    1,231.20x = 1,259,625.73
  5. Step 5: Solve for x
    x = 1,259,625.73/1,231.20
  6. Step 6: Final answer
    x = 1,023.09

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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.