Home / 1,400.28-2,100.78-413.12

Finding the Fourth Proportional to 1,400.28, 2,100.78 and 413.12

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Solution

The fourth proportional to 1,400.28, 2,100.78 and 413.12 is: 619.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.28 : 2,100.78 = 413.12 : x
  2. Step 2: Convert to fraction form
    1,400.28/2,100.78 = 413.12/x
  3. Step 3: Cross multiply
    1,400.28x = 2,100.78 × 413.12
  4. Step 4: Simplify right side
    1,400.28x = 867,874.23
  5. Step 5: Solve for x
    x = 867,874.23/1,400.28
  6. Step 6: Final answer
    x = 619.79

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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.