Home / 2,414.12-3,620.40-770.60

Finding the Fourth Proportional to 2,414.12, 3,620.40 and 770.60

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Solution

The fourth proportional to 2,414.12, 3,620.40 and 770.60 is: 1,155.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.12 : 3,620.40 = 770.60 : x
  2. Step 2: Convert to fraction form
    2,414.12/3,620.40 = 770.60/x
  3. Step 3: Cross multiply
    2,414.12x = 3,620.40 × 770.60
  4. Step 4: Simplify right side
    2,414.12x = 2,789,880.24
  5. Step 5: Solve for x
    x = 2,789,880.24/2,414.12
  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.