Home / 1,278.84-1,917.66-413.16

Finding the Fourth Proportional to 1,278.84, 1,917.66 and 413.16

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Solution

The fourth proportional to 1,278.84, 1,917.66 and 413.16 is: 619.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.84 : 1,917.66 = 413.16 : x
  2. Step 2: Convert to fraction form
    1,278.84/1,917.66 = 413.16/x
  3. Step 3: Cross multiply
    1,278.84x = 1,917.66 × 413.16
  4. Step 4: Simplify right side
    1,278.84x = 792,300.41
  5. Step 5: Solve for x
    x = 792,300.41/1,278.84
  6. Step 6: Final answer
    x = 619.55

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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.