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Finding the Fourth Proportional to 888.18, 1,338.92 and 828.71

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Solution

The fourth proportional to 888.18, 1,338.92 and 828.71 is: 1,249.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.18 : 1,338.92 = 828.71 : x
  2. Step 2: Convert to fraction form
    888.18/1,338.92 = 828.71/x
  3. Step 3: Cross multiply
    888.18x = 1,338.92 × 828.71
  4. Step 4: Simplify right side
    888.18x = 1,109,576.39
  5. Step 5: Solve for x
    x = 1,109,576.39/888.18
  6. Step 6: Final answer
    x = 1,249.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.