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Finding the Fourth Proportional to 888.10, 1,325.84 and 823.86

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Solution

The fourth proportional to 888.10, 1,325.84 and 823.86 is: 1,229.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.10 : 1,325.84 = 823.86 : x
  2. Step 2: Convert to fraction form
    888.10/1,325.84 = 823.86/x
  3. Step 3: Cross multiply
    888.10x = 1,325.84 × 823.86
  4. Step 4: Simplify right side
    888.10x = 1,092,306.54
  5. Step 5: Solve for x
    x = 1,092,306.54/888.10
  6. Step 6: Final answer
    x = 1,229.94

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