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Finding the Fourth Proportional to 657.05, 906.77 and 447.65

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Solution

The fourth proportional to 657.05, 906.77 and 447.65 is: 617.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.05 : 906.77 = 447.65 : x
  2. Step 2: Convert to fraction form
    657.05/906.77 = 447.65/x
  3. Step 3: Cross multiply
    657.05x = 906.77 × 447.65
  4. Step 4: Simplify right side
    657.05x = 405,916.87
  5. Step 5: Solve for x
    x = 405,916.87/657.05
  6. Step 6: Final answer
    x = 617.79

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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.