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Finding the Fourth Proportional to 1,608.49, 2,412.72 and 512.95

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Solution

The fourth proportional to 1,608.49, 2,412.72 and 512.95 is: 769.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.49 : 2,412.72 = 512.95 : x
  2. Step 2: Convert to fraction form
    1,608.49/2,412.72 = 512.95/x
  3. Step 3: Cross multiply
    1,608.49x = 2,412.72 × 512.95
  4. Step 4: Simplify right side
    1,608.49x = 1,237,604.72
  5. Step 5: Solve for x
    x = 1,237,604.72/1,608.49
  6. Step 6: Final answer
    x = 769.42

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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.