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Finding the Fourth Proportional to 1,183.56, 1,775.02 and 490.42

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Solution

The fourth proportional to 1,183.56, 1,775.02 and 490.42 is: 735.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.56 : 1,775.02 = 490.42 : x
  2. Step 2: Convert to fraction form
    1,183.56/1,775.02 = 490.42/x
  3. Step 3: Cross multiply
    1,183.56x = 1,775.02 × 490.42
  4. Step 4: Simplify right side
    1,183.56x = 870,505.31
  5. Step 5: Solve for x
    x = 870,505.31/1,183.56
  6. Step 6: Final answer
    x = 735.50

Related Problems

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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.