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Finding the Fourth Proportional to 490.47, 677.43 and 449.07

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Solution

The fourth proportional to 490.47, 677.43 and 449.07 is: 620.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.47 : 677.43 = 449.07 : x
  2. Step 2: Convert to fraction form
    490.47/677.43 = 449.07/x
  3. Step 3: Cross multiply
    490.47x = 677.43 × 449.07
  4. Step 4: Simplify right side
    490.47x = 304,213.49
  5. Step 5: Solve for x
    x = 304,213.49/490.47
  6. Step 6: Final answer
    x = 620.25

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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.