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Finding the Fourth Proportional to 706.26, 1,057.71 and 413.03

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Solution

The fourth proportional to 706.26, 1,057.71 and 413.03 is: 618.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.26 : 1,057.71 = 413.03 : x
  2. Step 2: Convert to fraction form
    706.26/1,057.71 = 413.03/x
  3. Step 3: Cross multiply
    706.26x = 1,057.71 × 413.03
  4. Step 4: Simplify right side
    706.26x = 436,860.67
  5. Step 5: Solve for x
    x = 436,860.67/706.26
  6. Step 6: Final answer
    x = 618.56

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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.