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Finding the Fourth Proportional to 1,311.60, 1,966.32 and 823.44

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Solution

The fourth proportional to 1,311.60, 1,966.32 and 823.44 is: 1,234.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.60 : 1,966.32 = 823.44 : x
  2. Step 2: Convert to fraction form
    1,311.60/1,966.32 = 823.44/x
  3. Step 3: Cross multiply
    1,311.60x = 1,966.32 × 823.44
  4. Step 4: Simplify right side
    1,311.60x = 1,619,146.54
  5. Step 5: Solve for x
    x = 1,619,146.54/1,311.60
  6. Step 6: Final answer
    x = 1,234.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.