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Finding the Fourth Proportional to 1,191.56, 1,786.69 and 369.61

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Solution

The fourth proportional to 1,191.56, 1,786.69 and 369.61 is: 554.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.56 : 1,786.69 = 369.61 : x
  2. Step 2: Convert to fraction form
    1,191.56/1,786.69 = 369.61/x
  3. Step 3: Cross multiply
    1,191.56x = 1,786.69 × 369.61
  4. Step 4: Simplify right side
    1,191.56x = 660,378.49
  5. Step 5: Solve for x
    x = 660,378.49/1,191.56
  6. Step 6: Final answer
    x = 554.21

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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.