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Finding the Fourth Proportional to 1,274.62, 1,912.13 and 544.20

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Solution

The fourth proportional to 1,274.62, 1,912.13 and 544.20 is: 816.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.62 : 1,912.13 = 544.20 : x
  2. Step 2: Convert to fraction form
    1,274.62/1,912.13 = 544.20/x
  3. Step 3: Cross multiply
    1,274.62x = 1,912.13 × 544.20
  4. Step 4: Simplify right side
    1,274.62x = 1,040,585.58
  5. Step 5: Solve for x
    x = 1,040,585.58/1,274.62
  6. Step 6: Final answer
    x = 816.39

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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.