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Finding the Fourth Proportional to 721.32, 995.28 and 459.20

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Solution

The fourth proportional to 721.32, 995.28 and 459.20 is: 633.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.32 : 995.28 = 459.20 : x
  2. Step 2: Convert to fraction form
    721.32/995.28 = 459.20/x
  3. Step 3: Cross multiply
    721.32x = 995.28 × 459.20
  4. Step 4: Simplify right side
    721.32x = 457,032.58
  5. Step 5: Solve for x
    x = 457,032.58/721.32
  6. Step 6: Final answer
    x = 633.61

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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.