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Finding the Fourth Proportional to 721.60, 995.84 and 459.60

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Solution

The fourth proportional to 721.60, 995.84 and 459.60 is: 634.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.60 : 995.84 = 459.60 : x
  2. Step 2: Convert to fraction form
    721.60/995.84 = 459.60/x
  3. Step 3: Cross multiply
    721.60x = 995.84 × 459.60
  4. Step 4: Simplify right side
    721.60x = 457,688.06
  5. Step 5: Solve for x
    x = 457,688.06/721.60
  6. Step 6: Final answer
    x = 634.27

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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.