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Finding the Fourth Proportional to 880.22, 1,311.72 and 828.29

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Solution

The fourth proportional to 880.22, 1,311.72 and 828.29 is: 1,234.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.22 : 1,311.72 = 828.29 : x
  2. Step 2: Convert to fraction form
    880.22/1,311.72 = 828.29/x
  3. Step 3: Cross multiply
    880.22x = 1,311.72 × 828.29
  4. Step 4: Simplify right side
    880.22x = 1,086,484.56
  5. Step 5: Solve for x
    x = 1,086,484.56/880.22
  6. Step 6: Final answer
    x = 1,234.33

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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.