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Finding the Fourth Proportional to 1,379.44, 2,069.25 and 513.76

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Solution

The fourth proportional to 1,379.44, 2,069.25 and 513.76 is: 770.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.44 : 2,069.25 = 513.76 : x
  2. Step 2: Convert to fraction form
    1,379.44/2,069.25 = 513.76/x
  3. Step 3: Cross multiply
    1,379.44x = 2,069.25 × 513.76
  4. Step 4: Simplify right side
    1,379.44x = 1,063,097.88
  5. Step 5: Solve for x
    x = 1,063,097.88/1,379.44
  6. Step 6: Final answer
    x = 770.67

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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.