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Finding the Fourth Proportional to 886.70, 1,221.80 and 825.19

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Solution

The fourth proportional to 886.70, 1,221.80 and 825.19 is: 1,137.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.70 : 1,221.80 = 825.19 : x
  2. Step 2: Convert to fraction form
    886.70/1,221.80 = 825.19/x
  3. Step 3: Cross multiply
    886.70x = 1,221.80 × 825.19
  4. Step 4: Simplify right side
    886.70x = 1,008,214.60
  5. Step 5: Solve for x
    x = 1,008,214.60/886.70
  6. Step 6: Final answer
    x = 1,137.05

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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.