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Finding the Fourth Proportional to 1,270.97, 1,754.69 and 799.26

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Solution

The fourth proportional to 1,270.97, 1,754.69 and 799.26 is: 1,103.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.97 : 1,754.69 = 799.26 : x
  2. Step 2: Convert to fraction form
    1,270.97/1,754.69 = 799.26/x
  3. Step 3: Cross multiply
    1,270.97x = 1,754.69 × 799.26
  4. Step 4: Simplify right side
    1,270.97x = 1,402,453.53
  5. Step 5: Solve for x
    x = 1,402,453.53/1,270.97
  6. Step 6: Final answer
    x = 1,103.45

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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.