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Finding the Fourth Proportional to 1,366.41, 2,049.46 and 379.30

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Solution

The fourth proportional to 1,366.41, 2,049.46 and 379.30 is: 568.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.41 : 2,049.46 = 379.30 : x
  2. Step 2: Convert to fraction form
    1,366.41/2,049.46 = 379.30/x
  3. Step 3: Cross multiply
    1,366.41x = 2,049.46 × 379.30
  4. Step 4: Simplify right side
    1,366.41x = 777,360.18
  5. Step 5: Solve for x
    x = 777,360.18/1,366.41
  6. Step 6: Final answer
    x = 568.91

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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.