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Finding the Fourth Proportional to 703.42, 969.81 and 481.97

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Solution

The fourth proportional to 703.42, 969.81 and 481.97 is: 664.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.42 : 969.81 = 481.97 : x
  2. Step 2: Convert to fraction form
    703.42/969.81 = 481.97/x
  3. Step 3: Cross multiply
    703.42x = 969.81 × 481.97
  4. Step 4: Simplify right side
    703.42x = 467,419.94
  5. Step 5: Solve for x
    x = 467,419.94/703.42
  6. Step 6: Final answer
    x = 664.50

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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.