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Finding the Fourth Proportional to 1,612.49, 2,418.12 and 516.56

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Solution

The fourth proportional to 1,612.49, 2,418.12 and 516.56 is: 774.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.49 : 2,418.12 = 516.56 : x
  2. Step 2: Convert to fraction form
    1,612.49/2,418.12 = 516.56/x
  3. Step 3: Cross multiply
    1,612.49x = 2,418.12 × 516.56
  4. Step 4: Simplify right side
    1,612.49x = 1,249,091.98
  5. Step 5: Solve for x
    x = 1,249,091.98/1,612.49
  6. Step 6: Final answer
    x = 774.64

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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.