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Finding the Fourth Proportional to 657.31, 906.17 and 447.16

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Solution

The fourth proportional to 657.31, 906.17 and 447.16 is: 616.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.31 : 906.17 = 447.16 : x
  2. Step 2: Convert to fraction form
    657.31/906.17 = 447.16/x
  3. Step 3: Cross multiply
    657.31x = 906.17 × 447.16
  4. Step 4: Simplify right side
    657.31x = 405,196.21
  5. Step 5: Solve for x
    x = 405,196.21/657.31
  6. Step 6: Final answer
    x = 616.45

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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.