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Finding the Fourth Proportional to 722.46, 1,082.25 and 413.37

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Solution

The fourth proportional to 722.46, 1,082.25 and 413.37 is: 619.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.46 : 1,082.25 = 413.37 : x
  2. Step 2: Convert to fraction form
    722.46/1,082.25 = 413.37/x
  3. Step 3: Cross multiply
    722.46x = 1,082.25 × 413.37
  4. Step 4: Simplify right side
    722.46x = 447,369.68
  5. Step 5: Solve for x
    x = 447,369.68/722.46
  6. Step 6: Final answer
    x = 619.23

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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.