Home / 1,222.97-1,834.43-298.51

Finding the Fourth Proportional to 1,222.97, 1,834.43 and 298.51

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Solution

The fourth proportional to 1,222.97, 1,834.43 and 298.51 is: 447.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.97 : 1,834.43 = 298.51 : x
  2. Step 2: Convert to fraction form
    1,222.97/1,834.43 = 298.51/x
  3. Step 3: Cross multiply
    1,222.97x = 1,834.43 × 298.51
  4. Step 4: Simplify right side
    1,222.97x = 547,589.62
  5. Step 5: Solve for x
    x = 547,589.62/1,222.97
  6. Step 6: Final answer
    x = 447.76

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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.