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Finding the Fourth Proportional to 618.80, 927.12 and 516.20

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Solution

The fourth proportional to 618.80, 927.12 and 516.20 is: 773.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.80 : 927.12 = 516.20 : x
  2. Step 2: Convert to fraction form
    618.80/927.12 = 516.20/x
  3. Step 3: Cross multiply
    618.80x = 927.12 × 516.20
  4. Step 4: Simplify right side
    618.80x = 478,579.34
  5. Step 5: Solve for x
    x = 478,579.34/618.80
  6. Step 6: Final answer
    x = 773.40

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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.