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Finding the Fourth Proportional to 656.22, 905.64 and 490.90

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Solution

The fourth proportional to 656.22, 905.64 and 490.90 is: 677.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.22 : 905.64 = 490.90 : x
  2. Step 2: Convert to fraction form
    656.22/905.64 = 490.90/x
  3. Step 3: Cross multiply
    656.22x = 905.64 × 490.90
  4. Step 4: Simplify right side
    656.22x = 444,578.68
  5. Step 5: Solve for x
    x = 444,578.68/656.22
  6. Step 6: Final answer
    x = 677.48

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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.