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Finding the Fourth Proportional to 413.85, 620.35 and 259.88

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Solution

The fourth proportional to 413.85, 620.35 and 259.88 is: 389.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.85 : 620.35 = 259.88 : x
  2. Step 2: Convert to fraction form
    413.85/620.35 = 259.88/x
  3. Step 3: Cross multiply
    413.85x = 620.35 × 259.88
  4. Step 4: Simplify right side
    413.85x = 161,215.91
  5. Step 5: Solve for x
    x = 161,215.91/413.85
  6. Step 6: Final answer
    x = 389.56

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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.