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Finding the Fourth Proportional to 1,608.45, 2,412.86 and 512.43

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Solution

The fourth proportional to 1,608.45, 2,412.86 and 512.43 is: 768.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.45 : 2,412.86 = 512.43 : x
  2. Step 2: Convert to fraction form
    1,608.45/2,412.86 = 512.43/x
  3. Step 3: Cross multiply
    1,608.45x = 2,412.86 × 512.43
  4. Step 4: Simplify right side
    1,608.45x = 1,236,419.29
  5. Step 5: Solve for x
    x = 1,236,419.29/1,608.45
  6. Step 6: Final answer
    x = 768.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.