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Finding the Fourth Proportional to 618.83, 927.15 and 516.77

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Solution

The fourth proportional to 618.83, 927.15 and 516.77 is: 774.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.83 : 927.15 = 516.77 : x
  2. Step 2: Convert to fraction form
    618.83/927.15 = 516.77/x
  3. Step 3: Cross multiply
    618.83x = 927.15 × 516.77
  4. Step 4: Simplify right side
    618.83x = 479,123.31
  5. Step 5: Solve for x
    x = 479,123.31/618.83
  6. Step 6: Final answer
    x = 774.24

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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.