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Finding the Fourth Proportional to 474.36, 711.38 and 413.61

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Solution

The fourth proportional to 474.36, 711.38 and 413.61 is: 620.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.36 : 711.38 = 413.61 : x
  2. Step 2: Convert to fraction form
    474.36/711.38 = 413.61/x
  3. Step 3: Cross multiply
    474.36x = 711.38 × 413.61
  4. Step 4: Simplify right side
    474.36x = 294,232.25
  5. Step 5: Solve for x
    x = 294,232.25/474.36
  6. Step 6: Final answer
    x = 620.28

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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.