Home / 1,311.58-1,967.78-823.96

Finding the Fourth Proportional to 1,311.58, 1,967.78 and 823.96

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Solution

The fourth proportional to 1,311.58, 1,967.78 and 823.96 is: 1,236.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.58 : 1,967.78 = 823.96 : x
  2. Step 2: Convert to fraction form
    1,311.58/1,967.78 = 823.96/x
  3. Step 3: Cross multiply
    1,311.58x = 1,967.78 × 823.96
  4. Step 4: Simplify right side
    1,311.58x = 1,621,372.01
  5. Step 5: Solve for x
    x = 1,621,372.01/1,311.58
  6. Step 6: Final answer
    x = 1,236.20

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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.