Home / 1,151.44-1,725.34-822.96

Finding the Fourth Proportional to 1,151.44, 1,725.34 and 822.96

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Solution

The fourth proportional to 1,151.44, 1,725.34 and 822.96 is: 1,233.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.44 : 1,725.34 = 822.96 : x
  2. Step 2: Convert to fraction form
    1,151.44/1,725.34 = 822.96/x
  3. Step 3: Cross multiply
    1,151.44x = 1,725.34 × 822.96
  4. Step 4: Simplify right side
    1,151.44x = 1,419,885.81
  5. Step 5: Solve for x
    x = 1,419,885.81/1,151.44
  6. Step 6: Final answer
    x = 1,233.14

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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.