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Finding the Fourth Proportional to 440.50, 660.74 and 413.77

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Solution

The fourth proportional to 440.50, 660.74 and 413.77 is: 620.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.50 : 660.74 = 413.77 : x
  2. Step 2: Convert to fraction form
    440.50/660.74 = 413.77/x
  3. Step 3: Cross multiply
    440.50x = 660.74 × 413.77
  4. Step 4: Simplify right side
    440.50x = 273,394.39
  5. Step 5: Solve for x
    x = 273,394.39/440.50
  6. Step 6: Final answer
    x = 620.65

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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.