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Finding the Fourth Proportional to 755.88, 1,131.78 and 721.86

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Solution

The fourth proportional to 755.88, 1,131.78 and 721.86 is: 1,080.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.88 : 1,131.78 = 721.86 : x
  2. Step 2: Convert to fraction form
    755.88/1,131.78 = 721.86/x
  3. Step 3: Cross multiply
    755.88x = 1,131.78 × 721.86
  4. Step 4: Simplify right side
    755.88x = 816,986.71
  5. Step 5: Solve for x
    x = 816,986.71/755.88
  6. Step 6: Final answer
    x = 1,080.84

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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.