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Finding the Fourth Proportional to 721.02, 995.09 and 406.34

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Solution

The fourth proportional to 721.02, 995.09 and 406.34 is: 560.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.02 : 995.09 = 406.34 : x
  2. Step 2: Convert to fraction form
    721.02/995.09 = 406.34/x
  3. Step 3: Cross multiply
    721.02x = 995.09 × 406.34
  4. Step 4: Simplify right side
    721.02x = 404,344.87
  5. Step 5: Solve for x
    x = 404,344.87/721.02
  6. Step 6: Final answer
    x = 560.80

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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.