Home / 1,163.04-1,743.57-513.27

Finding the Fourth Proportional to 1,163.04, 1,743.57 and 513.27

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Solution

The fourth proportional to 1,163.04, 1,743.57 and 513.27 is: 769.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.04 : 1,743.57 = 513.27 : x
  2. Step 2: Convert to fraction form
    1,163.04/1,743.57 = 513.27/x
  3. Step 3: Cross multiply
    1,163.04x = 1,743.57 × 513.27
  4. Step 4: Simplify right side
    1,163.04x = 894,922.17
  5. Step 5: Solve for x
    x = 894,922.17/1,163.04
  6. Step 6: Final answer
    x = 769.47

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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.