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Finding the Fourth Proportional to 757.31, 1,135.79 and 209.54

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Solution

The fourth proportional to 757.31, 1,135.79 and 209.54 is: 314.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.31 : 1,135.79 = 209.54 : x
  2. Step 2: Convert to fraction form
    757.31/1,135.79 = 209.54/x
  3. Step 3: Cross multiply
    757.31x = 1,135.79 × 209.54
  4. Step 4: Simplify right side
    757.31x = 237,993.44
  5. Step 5: Solve for x
    x = 237,993.44/757.31
  6. Step 6: Final answer
    x = 314.26

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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.