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Finding the Fourth Proportional to 1,448.00, 2,171.99 and 408.10

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Solution

The fourth proportional to 1,448.00, 2,171.99 and 408.10 is: 612.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.00 : 2,171.99 = 408.10 : x
  2. Step 2: Convert to fraction form
    1,448.00/2,171.99 = 408.10/x
  3. Step 3: Cross multiply
    1,448.00x = 2,171.99 × 408.10
  4. Step 4: Simplify right side
    1,448.00x = 886,392.85
  5. Step 5: Solve for x
    x = 886,392.85/1,448.00
  6. Step 6: Final answer
    x = 612.15

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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.