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Finding the Fourth Proportional to 574.53, 862.48 and 343.64

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Solution

The fourth proportional to 574.53, 862.48 and 343.64 is: 515.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.53 : 862.48 = 343.64 : x
  2. Step 2: Convert to fraction form
    574.53/862.48 = 343.64/x
  3. Step 3: Cross multiply
    574.53x = 862.48 × 343.64
  4. Step 4: Simplify right side
    574.53x = 296,385.21
  5. Step 5: Solve for x
    x = 296,385.21/574.53
  6. Step 6: Final answer
    x = 515.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.