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Finding the Fourth Proportional to 1,193.75, 1,790.26 and 413.57

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Solution

The fourth proportional to 1,193.75, 1,790.26 and 413.57 is: 620.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.75 : 1,790.26 = 413.57 : x
  2. Step 2: Convert to fraction form
    1,193.75/1,790.26 = 413.57/x
  3. Step 3: Cross multiply
    1,193.75x = 1,790.26 × 413.57
  4. Step 4: Simplify right side
    1,193.75x = 740,389.90
  5. Step 5: Solve for x
    x = 740,389.90/1,193.75
  6. Step 6: Final answer
    x = 620.22

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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.