Home / 1,448.15-2,171.93-408.20

Finding the Fourth Proportional to 1,448.15, 2,171.93 and 408.20

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Solution

The fourth proportional to 1,448.15, 2,171.93 and 408.20 is: 612.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.15 : 2,171.93 = 408.20 : x
  2. Step 2: Convert to fraction form
    1,448.15/2,171.93 = 408.20/x
  3. Step 3: Cross multiply
    1,448.15x = 2,171.93 × 408.20
  4. Step 4: Simplify right side
    1,448.15x = 886,568.93
  5. Step 5: Solve for x
    x = 886,568.93/1,448.15
  6. Step 6: Final answer
    x = 612.21

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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.