Home / 1,413.24-2,119.68-591.36

Finding the Fourth Proportional to 1,413.24, 2,119.68 and 591.36

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Solution

The fourth proportional to 1,413.24, 2,119.68 and 591.36 is: 886.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.24 : 2,119.68 = 591.36 : x
  2. Step 2: Convert to fraction form
    1,413.24/2,119.68 = 591.36/x
  3. Step 3: Cross multiply
    1,413.24x = 2,119.68 × 591.36
  4. Step 4: Simplify right side
    1,413.24x = 1,253,493.96
  5. Step 5: Solve for x
    x = 1,253,493.96/1,413.24
  6. Step 6: Final answer
    x = 886.96

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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.