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Finding the Fourth Proportional to 1,282.62, 1,921.44 and 754.26

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Solution

The fourth proportional to 1,282.62, 1,921.44 and 754.26 is: 1,129.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.62 : 1,921.44 = 754.26 : x
  2. Step 2: Convert to fraction form
    1,282.62/1,921.44 = 754.26/x
  3. Step 3: Cross multiply
    1,282.62x = 1,921.44 × 754.26
  4. Step 4: Simplify right side
    1,282.62x = 1,449,265.33
  5. Step 5: Solve for x
    x = 1,449,265.33/1,282.62
  6. Step 6: Final answer
    x = 1,129.93

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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.