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Finding the Fourth Proportional to 721.20, 994.90 and 459.30

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Solution

The fourth proportional to 721.20, 994.90 and 459.30 is: 633.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.20 : 994.90 = 459.30 : x
  2. Step 2: Convert to fraction form
    721.20/994.90 = 459.30/x
  3. Step 3: Cross multiply
    721.20x = 994.90 × 459.30
  4. Step 4: Simplify right side
    721.20x = 456,957.57
  5. Step 5: Solve for x
    x = 456,957.57/721.20
  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.