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Finding the Fourth Proportional to 1,612.35, 2,418.84 and 516.81

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Solution

The fourth proportional to 1,612.35, 2,418.84 and 516.81 is: 775.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.35 : 2,418.84 = 516.81 : x
  2. Step 2: Convert to fraction form
    1,612.35/2,418.84 = 516.81/x
  3. Step 3: Cross multiply
    1,612.35x = 2,418.84 × 516.81
  4. Step 4: Simplify right side
    1,612.35x = 1,250,080.70
  5. Step 5: Solve for x
    x = 1,250,080.70/1,612.35
  6. Step 6: Final answer
    x = 775.32

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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.