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Finding the Fourth Proportional to 721.94, 995.73 and 512.42

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Solution

The fourth proportional to 721.94, 995.73 and 512.42 is: 706.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.94 : 995.73 = 512.42 : x
  2. Step 2: Convert to fraction form
    721.94/995.73 = 512.42/x
  3. Step 3: Cross multiply
    721.94x = 995.73 × 512.42
  4. Step 4: Simplify right side
    721.94x = 510,231.97
  5. Step 5: Solve for x
    x = 510,231.97/721.94
  6. Step 6: Final answer
    x = 706.75

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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.