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Finding the Fourth Proportional to 1,183.26, 1,773.43 and 489.49

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Solution

The fourth proportional to 1,183.26, 1,773.43 and 489.49 is: 733.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.26 : 1,773.43 = 489.49 : x
  2. Step 2: Convert to fraction form
    1,183.26/1,773.43 = 489.49/x
  3. Step 3: Cross multiply
    1,183.26x = 1,773.43 × 489.49
  4. Step 4: Simplify right side
    1,183.26x = 868,076.25
  5. Step 5: Solve for x
    x = 868,076.25/1,183.26
  6. Step 6: Final answer
    x = 733.63

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.