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Finding the Fourth Proportional to 1,286.03, 1,775.97 and 888.71

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Solution

The fourth proportional to 1,286.03, 1,775.97 and 888.71 is: 1,227.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.03 : 1,775.97 = 888.71 : x
  2. Step 2: Convert to fraction form
    1,286.03/1,775.97 = 888.71/x
  3. Step 3: Cross multiply
    1,286.03x = 1,775.97 × 888.71
  4. Step 4: Simplify right side
    1,286.03x = 1,578,313.42
  5. Step 5: Solve for x
    x = 1,578,313.42/1,286.03
  6. Step 6: Final answer
    x = 1,227.28

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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.