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Finding the Fourth Proportional to 888.05, 1,338.73 and 828.58

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Solution

The fourth proportional to 888.05, 1,338.73 and 828.58 is: 1,249.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.05 : 1,338.73 = 828.58 : x
  2. Step 2: Convert to fraction form
    888.05/1,338.73 = 828.58/x
  3. Step 3: Cross multiply
    888.05x = 1,338.73 × 828.58
  4. Step 4: Simplify right side
    888.05x = 1,109,244.90
  5. Step 5: Solve for x
    x = 1,109,244.90/888.05
  6. Step 6: Final answer
    x = 1,249.08

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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.