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Finding the Fourth Proportional to 701, 969.20 and 670.40

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Solution

The fourth proportional to 701, 969.20 and 670.40 is: 926.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    701 : 969.20 = 670.40 : x
  2. Step 2: Convert to fraction form
    701/969.20 = 670.40/x
  3. Step 3: Cross multiply
    701x = 969.20 × 670.40
  4. Step 4: Simplify right side
    701x = 649,751.68
  5. Step 5: Solve for x
    x = 649,751.68/701
  6. Step 6: Final answer
    x = 926.89

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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.