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Finding the Fourth Proportional to 757.09, 1,135.61 and 366.82

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Solution

The fourth proportional to 757.09, 1,135.61 and 366.82 is: 550.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.09 : 1,135.61 = 366.82 : x
  2. Step 2: Convert to fraction form
    757.09/1,135.61 = 366.82/x
  3. Step 3: Cross multiply
    757.09x = 1,135.61 × 366.82
  4. Step 4: Simplify right side
    757.09x = 416,556.95
  5. Step 5: Solve for x
    x = 416,556.95/757.09
  6. Step 6: Final answer
    x = 550.21

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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.