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Finding the Fourth Proportional to 657.96, 908.42 and 458.73

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Solution

The fourth proportional to 657.96, 908.42 and 458.73 is: 633.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.96 : 908.42 = 458.73 : x
  2. Step 2: Convert to fraction form
    657.96/908.42 = 458.73/x
  3. Step 3: Cross multiply
    657.96x = 908.42 × 458.73
  4. Step 4: Simplify right side
    657.96x = 416,717.21
  5. Step 5: Solve for x
    x = 416,717.21/657.96
  6. Step 6: Final answer
    x = 633.35

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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.