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Finding the Fourth Proportional to 887.11, 1,220.83 and 864.22

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Solution

The fourth proportional to 887.11, 1,220.83 and 864.22 is: 1,189.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.11 : 1,220.83 = 864.22 : x
  2. Step 2: Convert to fraction form
    887.11/1,220.83 = 864.22/x
  3. Step 3: Cross multiply
    887.11x = 1,220.83 × 864.22
  4. Step 4: Simplify right side
    887.11x = 1,055,065.70
  5. Step 5: Solve for x
    x = 1,055,065.70/887.11
  6. Step 6: Final answer
    x = 1,189.33

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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.