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Finding the Fourth Proportional to 755.22, 1,132.11 and 321.78

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Solution

The fourth proportional to 755.22, 1,132.11 and 321.78 is: 482.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.22 : 1,132.11 = 321.78 : x
  2. Step 2: Convert to fraction form
    755.22/1,132.11 = 321.78/x
  3. Step 3: Cross multiply
    755.22x = 1,132.11 × 321.78
  4. Step 4: Simplify right side
    755.22x = 364,290.36
  5. Step 5: Solve for x
    x = 364,290.36/755.22
  6. Step 6: Final answer
    x = 482.36

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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.