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Finding the Fourth Proportional to 1,188.25, 1,639.79 and 796.21

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Solution

The fourth proportional to 1,188.25, 1,639.79 and 796.21 is: 1,098.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.25 : 1,639.79 = 796.21 : x
  2. Step 2: Convert to fraction form
    1,188.25/1,639.79 = 796.21/x
  3. Step 3: Cross multiply
    1,188.25x = 1,639.79 × 796.21
  4. Step 4: Simplify right side
    1,188.25x = 1,305,617.20
  5. Step 5: Solve for x
    x = 1,305,617.20/1,188.25
  6. Step 6: Final answer
    x = 1,098.77

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Why These Related Problems?

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