Home / 1,279.32-1,918.86-413.64

Finding the Fourth Proportional to 1,279.32, 1,918.86 and 413.64

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Solution

The fourth proportional to 1,279.32, 1,918.86 and 413.64 is: 620.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.32 : 1,918.86 = 413.64 : x
  2. Step 2: Convert to fraction form
    1,279.32/1,918.86 = 413.64/x
  3. Step 3: Cross multiply
    1,279.32x = 1,918.86 × 413.64
  4. Step 4: Simplify right side
    1,279.32x = 793,717.25
  5. Step 5: Solve for x
    x = 793,717.25/1,279.32
  6. Step 6: Final answer
    x = 620.42

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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.