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Finding the Fourth Proportional to 1,280.75, 1,759.75 and 1,018.31

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Solution

The fourth proportional to 1,280.75, 1,759.75 and 1,018.31 is: 1,399.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.75 : 1,759.75 = 1,018.31 : x
  2. Step 2: Convert to fraction form
    1,280.75/1,759.75 = 1,018.31/x
  3. Step 3: Cross multiply
    1,280.75x = 1,759.75 × 1,018.31
  4. Step 4: Simplify right side
    1,280.75x = 1,791,959.68
  5. Step 5: Solve for x
    x = 1,791,959.68/1,280.75
  6. Step 6: Final answer
    x = 1,399.15

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.