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Finding the Fourth Proportional to 2,331.11, 3,495.76 and 770.85

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Solution

The fourth proportional to 2,331.11, 3,495.76 and 770.85 is: 1,155.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.11 : 3,495.76 = 770.85 : x
  2. Step 2: Convert to fraction form
    2,331.11/3,495.76 = 770.85/x
  3. Step 3: Cross multiply
    2,331.11x = 3,495.76 × 770.85
  4. Step 4: Simplify right side
    2,331.11x = 2,694,704.67
  5. Step 5: Solve for x
    x = 2,694,704.67/2,331.11
  6. Step 6: Final answer
    x = 1,155.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.