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Finding the Fourth Proportional to 754.44, 1,131.56 and 206.68

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Solution

The fourth proportional to 754.44, 1,131.56 and 206.68 is: 309.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.44 : 1,131.56 = 206.68 : x
  2. Step 2: Convert to fraction form
    754.44/1,131.56 = 206.68/x
  3. Step 3: Cross multiply
    754.44x = 1,131.56 × 206.68
  4. Step 4: Simplify right side
    754.44x = 233,870.82
  5. Step 5: Solve for x
    x = 233,870.82/754.44
  6. Step 6: Final answer
    x = 309.99

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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.