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Finding the Fourth Proportional to 888.26, 1,325.79 and 784.46

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Solution

The fourth proportional to 888.26, 1,325.79 and 784.46 is: 1,170.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.26 : 1,325.79 = 784.46 : x
  2. Step 2: Convert to fraction form
    888.26/1,325.79 = 784.46/x
  3. Step 3: Cross multiply
    888.26x = 1,325.79 × 784.46
  4. Step 4: Simplify right side
    888.26x = 1,040,032.54
  5. Step 5: Solve for x
    x = 1,040,032.54/888.26
  6. Step 6: Final answer
    x = 1,170.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.