Home / 2,231.74-3,346.80-770.50

Finding the Fourth Proportional to 2,231.74, 3,346.80 and 770.50

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Solution

The fourth proportional to 2,231.74, 3,346.80 and 770.50 is: 1,155.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.74 : 3,346.80 = 770.50 : x
  2. Step 2: Convert to fraction form
    2,231.74/3,346.80 = 770.50/x
  3. Step 3: Cross multiply
    2,231.74x = 3,346.80 × 770.50
  4. Step 4: Simplify right side
    2,231.74x = 2,578,709.40
  5. Step 5: Solve for x
    x = 2,578,709.40/2,231.74
  6. Step 6: Final answer
    x = 1,155.47

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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.