Home / 1,299.30-1,949.09-1,163.22

Finding the Fourth Proportional to 1,299.30, 1,949.09 and 1,163.22

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Solution

The fourth proportional to 1,299.30, 1,949.09 and 1,163.22 is: 1,744.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.30 : 1,949.09 = 1,163.22 : x
  2. Step 2: Convert to fraction form
    1,299.30/1,949.09 = 1,163.22/x
  3. Step 3: Cross multiply
    1,299.30x = 1,949.09 × 1,163.22
  4. Step 4: Simplify right side
    1,299.30x = 2,267,214.65
  5. Step 5: Solve for x
    x = 2,267,214.65/1,299.30
  6. Step 6: Final answer
    x = 1,744.95

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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.