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Finding the Fourth Proportional to 721.41, 995.49 and 406.68

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Solution

The fourth proportional to 721.41, 995.49 and 406.68 is: 561.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.41 : 995.49 = 406.68 : x
  2. Step 2: Convert to fraction form
    721.41/995.49 = 406.68/x
  3. Step 3: Cross multiply
    721.41x = 995.49 × 406.68
  4. Step 4: Simplify right side
    721.41x = 404,845.87
  5. Step 5: Solve for x
    x = 404,845.87/721.41
  6. Step 6: Final answer
    x = 561.19

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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.