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Finding the Fourth Proportional to 1,380.26, 2,069.69 and 513.96

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Solution

The fourth proportional to 1,380.26, 2,069.69 and 513.96 is: 770.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.26 : 2,069.69 = 513.96 : x
  2. Step 2: Convert to fraction form
    1,380.26/2,069.69 = 513.96/x
  3. Step 3: Cross multiply
    1,380.26x = 2,069.69 × 513.96
  4. Step 4: Simplify right side
    1,380.26x = 1,063,735.30
  5. Step 5: Solve for x
    x = 1,063,735.30/1,380.26
  6. Step 6: Final answer
    x = 770.68

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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.