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Finding the Fourth Proportional to 2,414.07, 3,621.08 and 770.60

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Solution

The fourth proportional to 2,414.07, 3,621.08 and 770.60 is: 1,155.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.07 : 3,621.08 = 770.60 : x
  2. Step 2: Convert to fraction form
    2,414.07/3,621.08 = 770.60/x
  3. Step 3: Cross multiply
    2,414.07x = 3,621.08 × 770.60
  4. Step 4: Simplify right side
    2,414.07x = 2,790,382.29
  5. Step 5: Solve for x
    x = 2,790,382.29/2,414.07
  6. Step 6: Final answer
    x = 1,155.88

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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.