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Finding the Fourth Proportional to 1,183.62, 1,775.34 and 490.12

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Solution

The fourth proportional to 1,183.62, 1,775.34 and 490.12 is: 735.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.62 : 1,775.34 = 490.12 : x
  2. Step 2: Convert to fraction form
    1,183.62/1,775.34 = 490.12/x
  3. Step 3: Cross multiply
    1,183.62x = 1,775.34 × 490.12
  4. Step 4: Simplify right side
    1,183.62x = 870,129.64
  5. Step 5: Solve for x
    x = 870,129.64/1,183.62
  6. Step 6: Final answer
    x = 735.14

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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.