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Finding the Fourth Proportional to 1,191.64, 1,786.80 and 411.22

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Solution

The fourth proportional to 1,191.64, 1,786.80 and 411.22 is: 616.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.64 : 1,786.80 = 411.22 : x
  2. Step 2: Convert to fraction form
    1,191.64/1,786.80 = 411.22/x
  3. Step 3: Cross multiply
    1,191.64x = 1,786.80 × 411.22
  4. Step 4: Simplify right side
    1,191.64x = 734,767.90
  5. Step 5: Solve for x
    x = 734,767.90/1,191.64
  6. Step 6: Final answer
    x = 616.60

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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.