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Finding the Fourth Proportional to 618.24, 926.56 and 344.48

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Solution

The fourth proportional to 618.24, 926.56 and 344.48 is: 516.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.24 : 926.56 = 344.48 : x
  2. Step 2: Convert to fraction form
    618.24/926.56 = 344.48/x
  3. Step 3: Cross multiply
    618.24x = 926.56 × 344.48
  4. Step 4: Simplify right side
    618.24x = 319,181.39
  5. Step 5: Solve for x
    x = 319,181.39/618.24
  6. Step 6: Final answer
    x = 516.27

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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.