Home / 1,413.27-2,119.95-754.86

Finding the Fourth Proportional to 1,413.27, 2,119.95 and 754.86

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Solution

The fourth proportional to 1,413.27, 2,119.95 and 754.86 is: 1,132.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.27 : 2,119.95 = 754.86 : x
  2. Step 2: Convert to fraction form
    1,413.27/2,119.95 = 754.86/x
  3. Step 3: Cross multiply
    1,413.27x = 2,119.95 × 754.86
  4. Step 4: Simplify right side
    1,413.27x = 1,600,265.46
  5. Step 5: Solve for x
    x = 1,600,265.46/1,413.27
  6. Step 6: Final answer
    x = 1,132.31

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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.