Home / 2,414.21-3,621.24-770.85

Finding the Fourth Proportional to 2,414.21, 3,621.24 and 770.85

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Solution

The fourth proportional to 2,414.21, 3,621.24 and 770.85 is: 1,156.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.21 : 3,621.24 = 770.85 : x
  2. Step 2: Convert to fraction form
    2,414.21/3,621.24 = 770.85/x
  3. Step 3: Cross multiply
    2,414.21x = 3,621.24 × 770.85
  4. Step 4: Simplify right side
    2,414.21x = 2,791,432.85
  5. Step 5: Solve for x
    x = 2,791,432.85/2,414.21
  6. Step 6: Final answer
    x = 1,156.25

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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.