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Finding the Fourth Proportional to 1,162.83, 1,743.81 and 513.21

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Solution

The fourth proportional to 1,162.83, 1,743.81 and 513.21 is: 769.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.83 : 1,743.81 = 513.21 : x
  2. Step 2: Convert to fraction form
    1,162.83/1,743.81 = 513.21/x
  3. Step 3: Cross multiply
    1,162.83x = 1,743.81 × 513.21
  4. Step 4: Simplify right side
    1,162.83x = 894,940.73
  5. Step 5: Solve for x
    x = 894,940.73/1,162.83
  6. Step 6: Final answer
    x = 769.62

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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.