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Finding the Fourth Proportional to 696.54, 960.87 and 489.18

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Solution

The fourth proportional to 696.54, 960.87 and 489.18 is: 674.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.54 : 960.87 = 489.18 : x
  2. Step 2: Convert to fraction form
    696.54/960.87 = 489.18/x
  3. Step 3: Cross multiply
    696.54x = 960.87 × 489.18
  4. Step 4: Simplify right side
    696.54x = 470,038.39
  5. Step 5: Solve for x
    x = 470,038.39/696.54
  6. Step 6: Final answer
    x = 674.82

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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.