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Finding the Fourth Proportional to 1,286.57, 1,775.31 and 755.36

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Solution

The fourth proportional to 1,286.57, 1,775.31 and 755.36 is: 1,042.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.57 : 1,775.31 = 755.36 : x
  2. Step 2: Convert to fraction form
    1,286.57/1,775.31 = 755.36/x
  3. Step 3: Cross multiply
    1,286.57x = 1,775.31 × 755.36
  4. Step 4: Simplify right side
    1,286.57x = 1,340,989.29
  5. Step 5: Solve for x
    x = 1,340,989.29/1,286.57
  6. Step 6: Final answer
    x = 1,042.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.