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Finding the Fourth Proportional to 696.96, 960 and 489.60

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Solution

The fourth proportional to 696.96, 960 and 489.60 is: 674.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.96 : 960 = 489.60 : x
  2. Step 2: Convert to fraction form
    696.96/960 = 489.60/x
  3. Step 3: Cross multiply
    696.96x = 960 × 489.60
  4. Step 4: Simplify right side
    696.96x = 470,016
  5. Step 5: Solve for x
    x = 470,016/696.96
  6. Step 6: Final answer
    x = 674.38

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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.