Home / 1,222.20-1,833.26-297.75

Finding the Fourth Proportional to 1,222.20, 1,833.26 and 297.75

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Solution

The fourth proportional to 1,222.20, 1,833.26 and 297.75 is: 446.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.20 : 1,833.26 = 297.75 : x
  2. Step 2: Convert to fraction form
    1,222.20/1,833.26 = 297.75/x
  3. Step 3: Cross multiply
    1,222.20x = 1,833.26 × 297.75
  4. Step 4: Simplify right side
    1,222.20x = 545,856.12
  5. Step 5: Solve for x
    x = 545,856.12/1,222.20
  6. Step 6: Final answer
    x = 446.62

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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.