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Finding the Fourth Proportional to 754.50, 1,131.90 and 234.49

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Solution

The fourth proportional to 754.50, 1,131.90 and 234.49 is: 351.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.50 : 1,131.90 = 234.49 : x
  2. Step 2: Convert to fraction form
    754.50/1,131.90 = 234.49/x
  3. Step 3: Cross multiply
    754.50x = 1,131.90 × 234.49
  4. Step 4: Simplify right side
    754.50x = 265,417.28
  5. Step 5: Solve for x
    x = 265,417.28/754.50
  6. Step 6: Final answer
    x = 351.78

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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.