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Finding the Fourth Proportional to 721.32, 995.36 and 410.82

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Solution

The fourth proportional to 721.32, 995.36 and 410.82 is: 566.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.32 : 995.36 = 410.82 : x
  2. Step 2: Convert to fraction form
    721.32/995.36 = 410.82/x
  3. Step 3: Cross multiply
    721.32x = 995.36 × 410.82
  4. Step 4: Simplify right side
    721.32x = 408,913.80
  5. Step 5: Solve for x
    x = 408,913.80/721.32
  6. Step 6: Final answer
    x = 566.90

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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.