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Finding the Fourth Proportional to 1,608.03, 2,411.94 and 513.18

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Solution

The fourth proportional to 1,608.03, 2,411.94 and 513.18 is: 769.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.03 : 2,411.94 = 513.18 : x
  2. Step 2: Convert to fraction form
    1,608.03/2,411.94 = 513.18/x
  3. Step 3: Cross multiply
    1,608.03x = 2,411.94 × 513.18
  4. Step 4: Simplify right side
    1,608.03x = 1,237,759.37
  5. Step 5: Solve for x
    x = 1,237,759.37/1,608.03
  6. Step 6: Final answer
    x = 769.74

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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.