Home / 1,413.38-2,120.68-764.57

Finding the Fourth Proportional to 1,413.38, 2,120.68 and 764.57

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Solution

The fourth proportional to 1,413.38, 2,120.68 and 764.57 is: 1,147.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.38 : 2,120.68 = 764.57 : x
  2. Step 2: Convert to fraction form
    1,413.38/2,120.68 = 764.57/x
  3. Step 3: Cross multiply
    1,413.38x = 2,120.68 × 764.57
  4. Step 4: Simplify right side
    1,413.38x = 1,621,408.31
  5. Step 5: Solve for x
    x = 1,621,408.31/1,413.38
  6. Step 6: Final answer
    x = 1,147.18

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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.