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Finding the Fourth Proportional to 490.87, 677.38 and 291.83

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Solution

The fourth proportional to 490.87, 677.38 and 291.83 is: 402.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.87 : 677.38 = 291.83 : x
  2. Step 2: Convert to fraction form
    490.87/677.38 = 291.83/x
  3. Step 3: Cross multiply
    490.87x = 677.38 × 291.83
  4. Step 4: Simplify right side
    490.87x = 197,679.81
  5. Step 5: Solve for x
    x = 197,679.81/490.87
  6. Step 6: Final answer
    x = 402.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.