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Finding the Fourth Proportional to 886.56, 1,216.92 and 808.80

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Solution

The fourth proportional to 886.56, 1,216.92 and 808.80 is: 1,110.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.56 : 1,216.92 = 808.80 : x
  2. Step 2: Convert to fraction form
    886.56/1,216.92 = 808.80/x
  3. Step 3: Cross multiply
    886.56x = 1,216.92 × 808.80
  4. Step 4: Simplify right side
    886.56x = 984,244.90
  5. Step 5: Solve for x
    x = 984,244.90/886.56
  6. Step 6: Final answer
    x = 1,110.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.