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Finding the Fourth Proportional to 490.57, 734.83 and 230.79

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Solution

The fourth proportional to 490.57, 734.83 and 230.79 is: 345.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.57 : 734.83 = 230.79 : x
  2. Step 2: Convert to fraction form
    490.57/734.83 = 230.79/x
  3. Step 3: Cross multiply
    490.57x = 734.83 × 230.79
  4. Step 4: Simplify right side
    490.57x = 169,591.42
  5. Step 5: Solve for x
    x = 169,591.42/490.57
  6. Step 6: Final answer
    x = 345.70

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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.