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Finding the Fourth Proportional to 1,191.26, 1,785.80 and 461.39

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Solution

The fourth proportional to 1,191.26, 1,785.80 and 461.39 is: 691.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.26 : 1,785.80 = 461.39 : x
  2. Step 2: Convert to fraction form
    1,191.26/1,785.80 = 461.39/x
  3. Step 3: Cross multiply
    1,191.26x = 1,785.80 × 461.39
  4. Step 4: Simplify right side
    1,191.26x = 823,942.49
  5. Step 5: Solve for x
    x = 823,942.49/1,191.26
  6. Step 6: Final answer
    x = 691.65

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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.