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Finding the Fourth Proportional to 713.22, 980.46 and 613.27

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Solution

The fourth proportional to 713.22, 980.46 and 613.27 is: 843.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.22 : 980.46 = 613.27 : x
  2. Step 2: Convert to fraction form
    713.22/980.46 = 613.27/x
  3. Step 3: Cross multiply
    713.22x = 980.46 × 613.27
  4. Step 4: Simplify right side
    713.22x = 601,286.21
  5. Step 5: Solve for x
    x = 601,286.21/713.22
  6. Step 6: Final answer
    x = 843.06

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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.