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Finding the Fourth Proportional to 2,331.14, 3,494.24 and 770.74

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Solution

The fourth proportional to 2,331.14, 3,494.24 and 770.74 is: 1,155.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.14 : 3,494.24 = 770.74 : x
  2. Step 2: Convert to fraction form
    2,331.14/3,494.24 = 770.74/x
  3. Step 3: Cross multiply
    2,331.14x = 3,494.24 × 770.74
  4. Step 4: Simplify right side
    2,331.14x = 2,693,140.84
  5. Step 5: Solve for x
    x = 2,693,140.84/2,331.14
  6. Step 6: Final answer
    x = 1,155.29

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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.