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Finding the Fourth Proportional to 1,191.28, 1,786.74 and 369.34

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Solution

The fourth proportional to 1,191.28, 1,786.74 and 369.34 is: 553.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.28 : 1,786.74 = 369.34 : x
  2. Step 2: Convert to fraction form
    1,191.28/1,786.74 = 369.34/x
  3. Step 3: Cross multiply
    1,191.28x = 1,786.74 × 369.34
  4. Step 4: Simplify right side
    1,191.28x = 659,914.55
  5. Step 5: Solve for x
    x = 659,914.55/1,191.28
  6. Step 6: Final answer
    x = 553.95

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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.