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Finding the Fourth Proportional to 618.47, 926.07 and 343.17

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Solution

The fourth proportional to 618.47, 926.07 and 343.17 is: 513.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.47 : 926.07 = 343.17 : x
  2. Step 2: Convert to fraction form
    618.47/926.07 = 343.17/x
  3. Step 3: Cross multiply
    618.47x = 926.07 × 343.17
  4. Step 4: Simplify right side
    618.47x = 317,799.44
  5. Step 5: Solve for x
    x = 317,799.44/618.47
  6. Step 6: Final answer
    x = 513.85

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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.