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Finding the Fourth Proportional to 1,162.38, 1,743.81 and 513.66

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Solution

The fourth proportional to 1,162.38, 1,743.81 and 513.66 is: 770.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.38 : 1,743.81 = 513.66 : x
  2. Step 2: Convert to fraction form
    1,162.38/1,743.81 = 513.66/x
  3. Step 3: Cross multiply
    1,162.38x = 1,743.81 × 513.66
  4. Step 4: Simplify right side
    1,162.38x = 895,725.44
  5. Step 5: Solve for x
    x = 895,725.44/1,162.38
  6. Step 6: Final answer
    x = 770.60

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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.