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Finding the Fourth Proportional to 713.53, 980.89 and 613.58

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Solution

The fourth proportional to 713.53, 980.89 and 613.58 is: 843.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.53 : 980.89 = 613.58 : x
  2. Step 2: Convert to fraction form
    713.53/980.89 = 613.58/x
  3. Step 3: Cross multiply
    713.53x = 980.89 × 613.58
  4. Step 4: Simplify right side
    713.53x = 601,850.35
  5. Step 5: Solve for x
    x = 601,850.35/713.53
  6. Step 6: Final answer
    x = 843.49

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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.