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Finding the Fourth Proportional to 490.73, 677.26 and 291.65

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Solution

The fourth proportional to 490.73, 677.26 and 291.65 is: 402.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.73 : 677.26 = 291.65 : x
  2. Step 2: Convert to fraction form
    490.73/677.26 = 291.65/x
  3. Step 3: Cross multiply
    490.73x = 677.26 × 291.65
  4. Step 4: Simplify right side
    490.73x = 197,523.67
  5. Step 5: Solve for x
    x = 197,523.67/490.73
  6. Step 6: Final answer
    x = 402.51

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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.