Home / 1,163.05-1,743.40-513.67

Finding the Fourth Proportional to 1,163.05, 1,743.40 and 513.67

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Solution

The fourth proportional to 1,163.05, 1,743.40 and 513.67 is: 769.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.05 : 1,743.40 = 513.67 : x
  2. Step 2: Convert to fraction form
    1,163.05/1,743.40 = 513.67/x
  3. Step 3: Cross multiply
    1,163.05x = 1,743.40 × 513.67
  4. Step 4: Simplify right side
    1,163.05x = 895,532.28
  5. Step 5: Solve for x
    x = 895,532.28/1,163.05
  6. Step 6: Final answer
    x = 769.99

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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.