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Finding the Fourth Proportional to 1,366.65, 2,049.56 and 379.23

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Solution

The fourth proportional to 1,366.65, 2,049.56 and 379.23 is: 568.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.65 : 2,049.56 = 379.23 : x
  2. Step 2: Convert to fraction form
    1,366.65/2,049.56 = 379.23/x
  3. Step 3: Cross multiply
    1,366.65x = 2,049.56 × 379.23
  4. Step 4: Simplify right side
    1,366.65x = 777,254.64
  5. Step 5: Solve for x
    x = 777,254.64/1,366.65
  6. Step 6: Final answer
    x = 568.73

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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.