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Finding the Fourth Proportional to 2,283.65, 3,425.99 and 723.75

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Solution

The fourth proportional to 2,283.65, 3,425.99 and 723.75 is: 1,085.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.65 : 3,425.99 = 723.75 : x
  2. Step 2: Convert to fraction form
    2,283.65/3,425.99 = 723.75/x
  3. Step 3: Cross multiply
    2,283.65x = 3,425.99 × 723.75
  4. Step 4: Simplify right side
    2,283.65x = 2,479,543.13
  5. Step 5: Solve for x
    x = 2,479,543.13/2,283.65
  6. Step 6: Final answer
    x = 1,085.78

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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.