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Finding the Fourth Proportional to 984.49, 1,476.31 and 522.17

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Solution

The fourth proportional to 984.49, 1,476.31 and 522.17 is: 783.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.49 : 1,476.31 = 522.17 : x
  2. Step 2: Convert to fraction form
    984.49/1,476.31 = 522.17/x
  3. Step 3: Cross multiply
    984.49x = 1,476.31 × 522.17
  4. Step 4: Simplify right side
    984.49x = 770,884.79
  5. Step 5: Solve for x
    x = 770,884.79/984.49
  6. Step 6: Final answer
    x = 783.03

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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.