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Finding the Fourth Proportional to 1,275.31, 1,912.78 and 544.33

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Solution

The fourth proportional to 1,275.31, 1,912.78 and 544.33 is: 816.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.31 : 1,912.78 = 544.33 : x
  2. Step 2: Convert to fraction form
    1,275.31/1,912.78 = 544.33/x
  3. Step 3: Cross multiply
    1,275.31x = 1,912.78 × 544.33
  4. Step 4: Simplify right side
    1,275.31x = 1,041,183.54
  5. Step 5: Solve for x
    x = 1,041,183.54/1,275.31
  6. Step 6: Final answer
    x = 816.42

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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.