Home / 2,231.24-3,346.40-770.54

Finding the Fourth Proportional to 2,231.24, 3,346.40 and 770.54

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Solution

The fourth proportional to 2,231.24, 3,346.40 and 770.54 is: 1,155.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.24 : 3,346.40 = 770.54 : x
  2. Step 2: Convert to fraction form
    2,231.24/3,346.40 = 770.54/x
  3. Step 3: Cross multiply
    2,231.24x = 3,346.40 × 770.54
  4. Step 4: Simplify right side
    2,231.24x = 2,578,520.25
  5. Step 5: Solve for x
    x = 2,578,520.25/2,231.24
  6. Step 6: Final answer
    x = 1,155.65

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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.