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Finding the Fourth Proportional to 722.29, 1,083.34 and 413.14

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Solution

The fourth proportional to 722.29, 1,083.34 and 413.14 is: 619.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.29 : 1,083.34 = 413.14 : x
  2. Step 2: Convert to fraction form
    722.29/1,083.34 = 413.14/x
  3. Step 3: Cross multiply
    722.29x = 1,083.34 × 413.14
  4. Step 4: Simplify right side
    722.29x = 447,571.09
  5. Step 5: Solve for x
    x = 447,571.09/722.29
  6. Step 6: Final answer
    x = 619.66

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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.