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Finding the Fourth Proportional to 701.66, 969.14 and 481.34

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Solution

The fourth proportional to 701.66, 969.14 and 481.34 is: 664.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.66 : 969.14 = 481.34 : x
  2. Step 2: Convert to fraction form
    701.66/969.14 = 481.34/x
  3. Step 3: Cross multiply
    701.66x = 969.14 × 481.34
  4. Step 4: Simplify right side
    701.66x = 466,482.21
  5. Step 5: Solve for x
    x = 466,482.21/701.66
  6. Step 6: Final answer
    x = 664.83

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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.