Home / 1,387.24-2,081.16-413.42

Finding the Fourth Proportional to 1,387.24, 2,081.16 and 413.42

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Solution

The fourth proportional to 1,387.24, 2,081.16 and 413.42 is: 620.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.24 : 2,081.16 = 413.42 : x
  2. Step 2: Convert to fraction form
    1,387.24/2,081.16 = 413.42/x
  3. Step 3: Cross multiply
    1,387.24x = 2,081.16 × 413.42
  4. Step 4: Simplify right side
    1,387.24x = 860,393.17
  5. Step 5: Solve for x
    x = 860,393.17/1,387.24
  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.