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Finding the Fourth Proportional to 1,196.12, 1,650.72 and 797.09

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Solution

The fourth proportional to 1,196.12, 1,650.72 and 797.09 is: 1,100.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.12 : 1,650.72 = 797.09 : x
  2. Step 2: Convert to fraction form
    1,196.12/1,650.72 = 797.09/x
  3. Step 3: Cross multiply
    1,196.12x = 1,650.72 × 797.09
  4. Step 4: Simplify right side
    1,196.12x = 1,315,764.15
  5. Step 5: Solve for x
    x = 1,315,764.15/1,196.12
  6. Step 6: Final answer
    x = 1,100.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.