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Finding the Fourth Proportional to 442.75, 660.76 and 413.41

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Solution

The fourth proportional to 442.75, 660.76 and 413.41 is: 616.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.75 : 660.76 = 413.41 : x
  2. Step 2: Convert to fraction form
    442.75/660.76 = 413.41/x
  3. Step 3: Cross multiply
    442.75x = 660.76 × 413.41
  4. Step 4: Simplify right side
    442.75x = 273,164.79
  5. Step 5: Solve for x
    x = 273,164.79/442.75
  6. Step 6: Final answer
    x = 616.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.