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Finding the Fourth Proportional to 984.28, 1,359.24 and 843.58

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Solution

The fourth proportional to 984.28, 1,359.24 and 843.58 is: 1,164.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.28 : 1,359.24 = 843.58 : x
  2. Step 2: Convert to fraction form
    984.28/1,359.24 = 843.58/x
  3. Step 3: Cross multiply
    984.28x = 1,359.24 × 843.58
  4. Step 4: Simplify right side
    984.28x = 1,146,627.68
  5. Step 5: Solve for x
    x = 1,146,627.68/984.28
  6. Step 6: Final answer
    x = 1,164.94

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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.