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Finding the Fourth Proportional to 984.57, 1,349.89 and 967.02

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Solution

The fourth proportional to 984.57, 1,349.89 and 967.02 is: 1,325.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.57 : 1,349.89 = 967.02 : x
  2. Step 2: Convert to fraction form
    984.57/1,349.89 = 967.02/x
  3. Step 3: Cross multiply
    984.57x = 1,349.89 × 967.02
  4. Step 4: Simplify right side
    984.57x = 1,305,370.63
  5. Step 5: Solve for x
    x = 1,305,370.63/984.57
  6. Step 6: Final answer
    x = 1,325.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.