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Finding the Fourth Proportional to 1,311.34, 1,967.46 and 823.82

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Solution

The fourth proportional to 1,311.34, 1,967.46 and 823.82 is: 1,236.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.34 : 1,967.46 = 823.82 : x
  2. Step 2: Convert to fraction form
    1,311.34/1,967.46 = 823.82/x
  3. Step 3: Cross multiply
    1,311.34x = 1,967.46 × 823.82
  4. Step 4: Simplify right side
    1,311.34x = 1,620,832.90
  5. Step 5: Solve for x
    x = 1,620,832.90/1,311.34
  6. Step 6: Final answer
    x = 1,236.01

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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.