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Finding the Fourth Proportional to 657.14, 906.78 and 408.38

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Solution

The fourth proportional to 657.14, 906.78 and 408.38 is: 563.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.14 : 906.78 = 408.38 : x
  2. Step 2: Convert to fraction form
    657.14/906.78 = 408.38/x
  3. Step 3: Cross multiply
    657.14x = 906.78 × 408.38
  4. Step 4: Simplify right side
    657.14x = 370,310.82
  5. Step 5: Solve for x
    x = 370,310.82/657.14
  6. Step 6: Final answer
    x = 563.52

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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.