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Finding the Fourth Proportional to 413.14, 620.11 and 314.72

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Solution

The fourth proportional to 413.14, 620.11 and 314.72 is: 472.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.14 : 620.11 = 314.72 : x
  2. Step 2: Convert to fraction form
    413.14/620.11 = 314.72/x
  3. Step 3: Cross multiply
    413.14x = 620.11 × 314.72
  4. Step 4: Simplify right side
    413.14x = 195,162.96
  5. Step 5: Solve for x
    x = 195,162.96/413.14
  6. Step 6: Final answer
    x = 472.39

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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.