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Finding the Fourth Proportional to 721.08, 994.14 and 574.20

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Solution

The fourth proportional to 721.08, 994.14 and 574.20 is: 791.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.08 : 994.14 = 574.20 : x
  2. Step 2: Convert to fraction form
    721.08/994.14 = 574.20/x
  3. Step 3: Cross multiply
    721.08x = 994.14 × 574.20
  4. Step 4: Simplify right side
    721.08x = 570,835.19
  5. Step 5: Solve for x
    x = 570,835.19/721.08
  6. Step 6: Final answer
    x = 791.64

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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.