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Finding the Fourth Proportional to 984.62, 1,469.21 and 881.19

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Solution

The fourth proportional to 984.62, 1,469.21 and 881.19 is: 1,314.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.62 : 1,469.21 = 881.19 : x
  2. Step 2: Convert to fraction form
    984.62/1,469.21 = 881.19/x
  3. Step 3: Cross multiply
    984.62x = 1,469.21 × 881.19
  4. Step 4: Simplify right side
    984.62x = 1,294,653.16
  5. Step 5: Solve for x
    x = 1,294,653.16/984.62
  6. Step 6: Final answer
    x = 1,314.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.