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Finding the Fourth Proportional to 1,183.84, 1,775.68 and 490.40

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Solution

The fourth proportional to 1,183.84, 1,775.68 and 490.40 is: 735.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.84 : 1,775.68 = 490.40 : x
  2. Step 2: Convert to fraction form
    1,183.84/1,775.68 = 490.40/x
  3. Step 3: Cross multiply
    1,183.84x = 1,775.68 × 490.40
  4. Step 4: Simplify right side
    1,183.84x = 870,793.47
  5. Step 5: Solve for x
    x = 870,793.47/1,183.84
  6. Step 6: Final answer
    x = 735.57

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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.