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Finding the Fourth Proportional to 618.07, 927.14 and 343.96

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Solution

The fourth proportional to 618.07, 927.14 and 343.96 is: 515.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.07 : 927.14 = 343.96 : x
  2. Step 2: Convert to fraction form
    618.07/927.14 = 343.96/x
  3. Step 3: Cross multiply
    618.07x = 927.14 × 343.96
  4. Step 4: Simplify right side
    618.07x = 318,898.03
  5. Step 5: Solve for x
    x = 318,898.03/618.07
  6. Step 6: Final answer
    x = 515.95

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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.