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Finding the Fourth Proportional to 721.70, 995.60 and 459.80

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Solution

The fourth proportional to 721.70, 995.60 and 459.80 is: 634.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.70 : 995.60 = 459.80 : x
  2. Step 2: Convert to fraction form
    721.70/995.60 = 459.80/x
  3. Step 3: Cross multiply
    721.70x = 995.60 × 459.80
  4. Step 4: Simplify right side
    721.70x = 457,776.88
  5. Step 5: Solve for x
    x = 457,776.88/721.70
  6. Step 6: Final answer
    x = 634.30

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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.