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Finding the Fourth Proportional to 721.02, 995.31 and 459.12

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Solution

The fourth proportional to 721.02, 995.31 and 459.12 is: 633.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.02 : 995.31 = 459.12 : x
  2. Step 2: Convert to fraction form
    721.02/995.31 = 459.12/x
  3. Step 3: Cross multiply
    721.02x = 995.31 × 459.12
  4. Step 4: Simplify right side
    721.02x = 456,966.73
  5. Step 5: Solve for x
    x = 456,966.73/721.02
  6. Step 6: Final answer
    x = 633.78

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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.