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Finding the Fourth Proportional to 706.27, 1,059.05 and 413.84

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Solution

The fourth proportional to 706.27, 1,059.05 and 413.84 is: 620.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.27 : 1,059.05 = 413.84 : x
  2. Step 2: Convert to fraction form
    706.27/1,059.05 = 413.84/x
  3. Step 3: Cross multiply
    706.27x = 1,059.05 × 413.84
  4. Step 4: Simplify right side
    706.27x = 438,272.65
  5. Step 5: Solve for x
    x = 438,272.65/706.27
  6. Step 6: Final answer
    x = 620.54

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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.