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Finding the Fourth Proportional to 618.96, 927.53 and 412.82

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Solution

The fourth proportional to 618.96, 927.53 and 412.82 is: 618.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.96 : 927.53 = 412.82 : x
  2. Step 2: Convert to fraction form
    618.96/927.53 = 412.82/x
  3. Step 3: Cross multiply
    618.96x = 927.53 × 412.82
  4. Step 4: Simplify right side
    618.96x = 382,902.93
  5. Step 5: Solve for x
    x = 382,902.93/618.96
  6. Step 6: Final answer
    x = 618.62

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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.