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Finding the Fourth Proportional to 1,195.66, 1,793.40 and 711.79

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Solution

The fourth proportional to 1,195.66, 1,793.40 and 711.79 is: 1,067.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.66 : 1,793.40 = 711.79 : x
  2. Step 2: Convert to fraction form
    1,195.66/1,793.40 = 711.79/x
  3. Step 3: Cross multiply
    1,195.66x = 1,793.40 × 711.79
  4. Step 4: Simplify right side
    1,195.66x = 1,276,524.19
  5. Step 5: Solve for x
    x = 1,276,524.19/1,195.66
  6. Step 6: Final answer
    x = 1,067.63

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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.