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Finding the Fourth Proportional to 1,196.20, 1,791.85 and 708.06

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Solution

The fourth proportional to 1,196.20, 1,791.85 and 708.06 is: 1,060.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.20 : 1,791.85 = 708.06 : x
  2. Step 2: Convert to fraction form
    1,196.20/1,791.85 = 708.06/x
  3. Step 3: Cross multiply
    1,196.20x = 1,791.85 × 708.06
  4. Step 4: Simplify right side
    1,196.20x = 1,268,737.31
  5. Step 5: Solve for x
    x = 1,268,737.31/1,196.20
  6. Step 6: Final answer
    x = 1,060.64

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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.