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Finding the Fourth Proportional to 442.36, 660.31 and 413.88

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Solution

The fourth proportional to 442.36, 660.31 and 413.88 is: 617.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.36 : 660.31 = 413.88 : x
  2. Step 2: Convert to fraction form
    442.36/660.31 = 413.88/x
  3. Step 3: Cross multiply
    442.36x = 660.31 × 413.88
  4. Step 4: Simplify right side
    442.36x = 273,289.10
  5. Step 5: Solve for x
    x = 273,289.10/442.36
  6. Step 6: Final answer
    x = 617.80

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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.