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Finding the Fourth Proportional to 618.73, 854.11 and 461.86

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Solution

The fourth proportional to 618.73, 854.11 and 461.86 is: 637.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.73 : 854.11 = 461.86 : x
  2. Step 2: Convert to fraction form
    618.73/854.11 = 461.86/x
  3. Step 3: Cross multiply
    618.73x = 854.11 × 461.86
  4. Step 4: Simplify right side
    618.73x = 394,477.69
  5. Step 5: Solve for x
    x = 394,477.69/618.73
  6. Step 6: Final answer
    x = 637.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.