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Finding the Fourth Proportional to 618.44, 922.59 and 516.38

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Solution

The fourth proportional to 618.44, 922.59 and 516.38 is: 770.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.44 : 922.59 = 516.38 : x
  2. Step 2: Convert to fraction form
    618.44/922.59 = 516.38/x
  3. Step 3: Cross multiply
    618.44x = 922.59 × 516.38
  4. Step 4: Simplify right side
    618.44x = 476,402.41
  5. Step 5: Solve for x
    x = 476,402.41/618.44
  6. Step 6: Final answer
    x = 770.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.