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Finding the Fourth Proportional to 490.73, 677.12 and 294.19

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Solution

The fourth proportional to 490.73, 677.12 and 294.19 is: 405.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.73 : 677.12 = 294.19 : x
  2. Step 2: Convert to fraction form
    490.73/677.12 = 294.19/x
  3. Step 3: Cross multiply
    490.73x = 677.12 × 294.19
  4. Step 4: Simplify right side
    490.73x = 199,201.93
  5. Step 5: Solve for x
    x = 199,201.93/490.73
  6. Step 6: Final answer
    x = 405.93

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Double scale
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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.