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Finding the Fourth Proportional to 1,608.21, 2,412.11 and 512.60

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Solution

The fourth proportional to 1,608.21, 2,412.11 and 512.60 is: 768.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.21 : 2,412.11 = 512.60 : x
  2. Step 2: Convert to fraction form
    1,608.21/2,412.11 = 512.60/x
  3. Step 3: Cross multiply
    1,608.21x = 2,412.11 × 512.60
  4. Step 4: Simplify right side
    1,608.21x = 1,236,436.81
  5. Step 5: Solve for x
    x = 1,236,436.81/1,608.21
  6. Step 6: Final answer
    x = 768.83

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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.