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Finding the Fourth Proportional to 994.43, 1,371.97 and 580.43

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Solution

The fourth proportional to 994.43, 1,371.97 and 580.43 is: 800.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.43 : 1,371.97 = 580.43 : x
  2. Step 2: Convert to fraction form
    994.43/1,371.97 = 580.43/x
  3. Step 3: Cross multiply
    994.43x = 1,371.97 × 580.43
  4. Step 4: Simplify right side
    994.43x = 796,332.55
  5. Step 5: Solve for x
    x = 796,332.55/994.43
  6. Step 6: Final answer
    x = 800.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.