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Finding the Fourth Proportional to 789.70, 1,183.14 and 481.40

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Solution

The fourth proportional to 789.70, 1,183.14 and 481.40 is: 721.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.70 : 1,183.14 = 481.40 : x
  2. Step 2: Convert to fraction form
    789.70/1,183.14 = 481.40/x
  3. Step 3: Cross multiply
    789.70x = 1,183.14 × 481.40
  4. Step 4: Simplify right side
    789.70x = 569,563.60
  5. Step 5: Solve for x
    x = 569,563.60/789.70
  6. Step 6: Final answer
    x = 721.24

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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.