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Finding the Fourth Proportional to 918.33, 1,266.33 and 869.05

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Solution

The fourth proportional to 918.33, 1,266.33 and 869.05 is: 1,198.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.33 : 1,266.33 = 869.05 : x
  2. Step 2: Convert to fraction form
    918.33/1,266.33 = 869.05/x
  3. Step 3: Cross multiply
    918.33x = 1,266.33 × 869.05
  4. Step 4: Simplify right side
    918.33x = 1,100,504.09
  5. Step 5: Solve for x
    x = 1,100,504.09/918.33
  6. Step 6: Final answer
    x = 1,198.38

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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.