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Finding the Fourth Proportional to 982.26, 1,355.49 and 568.26

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Solution

The fourth proportional to 982.26, 1,355.49 and 568.26 is: 784.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.26 : 1,355.49 = 568.26 : x
  2. Step 2: Convert to fraction form
    982.26/1,355.49 = 568.26/x
  3. Step 3: Cross multiply
    982.26x = 1,355.49 × 568.26
  4. Step 4: Simplify right side
    982.26x = 770,270.75
  5. Step 5: Solve for x
    x = 770,270.75/982.26
  6. Step 6: Final answer
    x = 784.18

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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.