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Finding the Fourth Proportional to 1,193.77, 1,790.23 and 413.56

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Solution

The fourth proportional to 1,193.77, 1,790.23 and 413.56 is: 620.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.77 : 1,790.23 = 413.56 : x
  2. Step 2: Convert to fraction form
    1,193.77/1,790.23 = 413.56/x
  3. Step 3: Cross multiply
    1,193.77x = 1,790.23 × 413.56
  4. Step 4: Simplify right side
    1,193.77x = 740,368.21
  5. Step 5: Solve for x
    x = 740,368.21/1,193.77
  6. Step 6: Final answer
    x = 620.19

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1.5x scale

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.