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Finding the Fourth Proportional to 618.48, 927.70 and 413.44

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Solution

The fourth proportional to 618.48, 927.70 and 413.44 is: 620.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.48 : 927.70 = 413.44 : x
  2. Step 2: Convert to fraction form
    618.48/927.70 = 413.44/x
  3. Step 3: Cross multiply
    618.48x = 927.70 × 413.44
  4. Step 4: Simplify right side
    618.48x = 383,548.29
  5. Step 5: Solve for x
    x = 383,548.29/618.48
  6. Step 6: Final answer
    x = 620.15

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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.