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Finding the Fourth Proportional to 721.34, 995.67 and 488.46

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Solution

The fourth proportional to 721.34, 995.67 and 488.46 is: 674.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.34 : 995.67 = 488.46 : x
  2. Step 2: Convert to fraction form
    721.34/995.67 = 488.46/x
  3. Step 3: Cross multiply
    721.34x = 995.67 × 488.46
  4. Step 4: Simplify right side
    721.34x = 486,344.97
  5. Step 5: Solve for x
    x = 486,344.97/721.34
  6. Step 6: Final answer
    x = 674.22

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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.