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Finding the Fourth Proportional to 712.06, 982.78 and 680.93

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Solution

The fourth proportional to 712.06, 982.78 and 680.93 is: 939.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.06 : 982.78 = 680.93 : x
  2. Step 2: Convert to fraction form
    712.06/982.78 = 680.93/x
  3. Step 3: Cross multiply
    712.06x = 982.78 × 680.93
  4. Step 4: Simplify right side
    712.06x = 669,204.39
  5. Step 5: Solve for x
    x = 669,204.39/712.06
  6. Step 6: Final answer
    x = 939.81

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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.