Home / 1,439.40-2,158.46-413.16

Finding the Fourth Proportional to 1,439.40, 2,158.46 and 413.16

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Solution

The fourth proportional to 1,439.40, 2,158.46 and 413.16 is: 619.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.40 : 2,158.46 = 413.16 : x
  2. Step 2: Convert to fraction form
    1,439.40/2,158.46 = 413.16/x
  3. Step 3: Cross multiply
    1,439.40x = 2,158.46 × 413.16
  4. Step 4: Simplify right side
    1,439.40x = 891,789.33
  5. Step 5: Solve for x
    x = 891,789.33/1,439.40
  6. Step 6: Final answer
    x = 619.56

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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.