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Finding the Fourth Proportional to 696, 960.48 and 489.44

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Solution

The fourth proportional to 696, 960.48 and 489.44 is: 675.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    696 : 960.48 = 489.44 : x
  2. Step 2: Convert to fraction form
    696/960.48 = 489.44/x
  3. Step 3: Cross multiply
    696x = 960.48 × 489.44
  4. Step 4: Simplify right side
    696x = 470,097.33
  5. Step 5: Solve for x
    x = 470,097.33/696
  6. Step 6: Final answer
    x = 675.43

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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.