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Finding the Fourth Proportional to 754.40, 1,131.64 and 206.51

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Solution

The fourth proportional to 754.40, 1,131.64 and 206.51 is: 309.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.40 : 1,131.64 = 206.51 : x
  2. Step 2: Convert to fraction form
    754.40/1,131.64 = 206.51/x
  3. Step 3: Cross multiply
    754.40x = 1,131.64 × 206.51
  4. Step 4: Simplify right side
    754.40x = 233,697.29
  5. Step 5: Solve for x
    x = 233,697.29/754.40
  6. Step 6: Final answer
    x = 309.78

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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.