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Finding the Fourth Proportional to 754.80, 1,131.25 and 343.86

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Solution

The fourth proportional to 754.80, 1,131.25 and 343.86 is: 515.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.80 : 1,131.25 = 343.86 : x
  2. Step 2: Convert to fraction form
    754.80/1,131.25 = 343.86/x
  3. Step 3: Cross multiply
    754.80x = 1,131.25 × 343.86
  4. Step 4: Simplify right side
    754.80x = 388,991.63
  5. Step 5: Solve for x
    x = 388,991.63/754.80
  6. Step 6: Final answer
    x = 515.36

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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.