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Finding the Fourth Proportional to 701.78, 968.69 and 481.46

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Solution

The fourth proportional to 701.78, 968.69 and 481.46 is: 664.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.78 : 968.69 = 481.46 : x
  2. Step 2: Convert to fraction form
    701.78/968.69 = 481.46/x
  3. Step 3: Cross multiply
    701.78x = 968.69 × 481.46
  4. Step 4: Simplify right side
    701.78x = 466,381.85
  5. Step 5: Solve for x
    x = 466,381.85/701.78
  6. Step 6: Final answer
    x = 664.57

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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.