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Finding the Fourth Proportional to 2,282.65, 3,424.49 and 722.75

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Solution

The fourth proportional to 2,282.65, 3,424.49 and 722.75 is: 1,084.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.65 : 3,424.49 = 722.75 : x
  2. Step 2: Convert to fraction form
    2,282.65/3,424.49 = 722.75/x
  3. Step 3: Cross multiply
    2,282.65x = 3,424.49 × 722.75
  4. Step 4: Simplify right side
    2,282.65x = 2,475,033.03
  5. Step 5: Solve for x
    x = 2,475,033.03/2,282.65
  6. Step 6: Final answer
    x = 1,084.28

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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.