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Finding the Fourth Proportional to 657.75, 908.87 and 490.37

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Solution

The fourth proportional to 657.75, 908.87 and 490.37 is: 677.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.75 : 908.87 = 490.37 : x
  2. Step 2: Convert to fraction form
    657.75/908.87 = 490.37/x
  3. Step 3: Cross multiply
    657.75x = 908.87 × 490.37
  4. Step 4: Simplify right side
    657.75x = 445,675.59
  5. Step 5: Solve for x
    x = 445,675.59/657.75
  6. Step 6: Final answer
    x = 677.58

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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.