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Finding the Fourth Proportional to 808.94, 1,118.67 and 794.36

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Solution

The fourth proportional to 808.94, 1,118.67 and 794.36 is: 1,098.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.94 : 1,118.67 = 794.36 : x
  2. Step 2: Convert to fraction form
    808.94/1,118.67 = 794.36/x
  3. Step 3: Cross multiply
    808.94x = 1,118.67 × 794.36
  4. Step 4: Simplify right side
    808.94x = 888,626.70
  5. Step 5: Solve for x
    x = 888,626.70/808.94
  6. Step 6: Final answer
    x = 1,098.51

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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.