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Finding the Fourth Proportional to 755.97, 1,127.19 and 744.43

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Solution

The fourth proportional to 755.97, 1,127.19 and 744.43 is: 1,109.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.97 : 1,127.19 = 744.43 : x
  2. Step 2: Convert to fraction form
    755.97/1,127.19 = 744.43/x
  3. Step 3: Cross multiply
    755.97x = 1,127.19 × 744.43
  4. Step 4: Simplify right side
    755.97x = 839,117.24
  5. Step 5: Solve for x
    x = 839,117.24/755.97
  6. Step 6: Final answer
    x = 1,109.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.