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Finding the Fourth Proportional to 664.42, 995.82 and 371.91

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Solution

The fourth proportional to 664.42, 995.82 and 371.91 is: 557.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.42 : 995.82 = 371.91 : x
  2. Step 2: Convert to fraction form
    664.42/995.82 = 371.91/x
  3. Step 3: Cross multiply
    664.42x = 995.82 × 371.91
  4. Step 4: Simplify right side
    664.42x = 370,355.42
  5. Step 5: Solve for x
    x = 370,355.42/664.42
  6. Step 6: Final answer
    x = 557.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.