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Finding the Fourth Proportional to 2,299.65, 3,448.22 and 911.58

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Solution

The fourth proportional to 2,299.65, 3,448.22 and 911.58 is: 1,366.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.65 : 3,448.22 = 911.58 : x
  2. Step 2: Convert to fraction form
    2,299.65/3,448.22 = 911.58/x
  3. Step 3: Cross multiply
    2,299.65x = 3,448.22 × 911.58
  4. Step 4: Simplify right side
    2,299.65x = 3,143,323.83
  5. Step 5: Solve for x
    x = 3,143,323.83/2,299.65
  6. Step 6: Final answer
    x = 1,366.87

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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.