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Finding the Fourth Proportional to 645.66, 967.86 and 413.88

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Solution

The fourth proportional to 645.66, 967.86 and 413.88 is: 620.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.66 : 967.86 = 413.88 : x
  2. Step 2: Convert to fraction form
    645.66/967.86 = 413.88/x
  3. Step 3: Cross multiply
    645.66x = 967.86 × 413.88
  4. Step 4: Simplify right side
    645.66x = 400,577.90
  5. Step 5: Solve for x
    x = 400,577.90/645.66
  6. Step 6: Final answer
    x = 620.42

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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.