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Finding the Fourth Proportional to 617.28, 926.96 and 343.92

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Solution

The fourth proportional to 617.28, 926.96 and 343.92 is: 516.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.28 : 926.96 = 343.92 : x
  2. Step 2: Convert to fraction form
    617.28/926.96 = 343.92/x
  3. Step 3: Cross multiply
    617.28x = 926.96 × 343.92
  4. Step 4: Simplify right side
    617.28x = 318,800.08
  5. Step 5: Solve for x
    x = 318,800.08/617.28
  6. Step 6: Final answer
    x = 516.46

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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.