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Finding the Fourth Proportional to 1,260.26, 1,888.57 and 674.78

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Solution

The fourth proportional to 1,260.26, 1,888.57 and 674.78 is: 1,011.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.26 : 1,888.57 = 674.78 : x
  2. Step 2: Convert to fraction form
    1,260.26/1,888.57 = 674.78/x
  3. Step 3: Cross multiply
    1,260.26x = 1,888.57 × 674.78
  4. Step 4: Simplify right side
    1,260.26x = 1,274,367.49
  5. Step 5: Solve for x
    x = 1,274,367.49/1,260.26
  6. Step 6: Final answer
    x = 1,011.20

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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.