Home / 1,222.98-1,834.44-298.54

Finding the Fourth Proportional to 1,222.98, 1,834.44 and 298.54

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Solution

The fourth proportional to 1,222.98, 1,834.44 and 298.54 is: 447.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.98 : 1,834.44 = 298.54 : x
  2. Step 2: Convert to fraction form
    1,222.98/1,834.44 = 298.54/x
  3. Step 3: Cross multiply
    1,222.98x = 1,834.44 × 298.54
  4. Step 4: Simplify right side
    1,222.98x = 547,653.72
  5. Step 5: Solve for x
    x = 547,653.72/1,222.98
  6. Step 6: Final answer
    x = 447.80

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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.