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Finding the Fourth Proportional to 1,612.60, 2,418.22 and 516.67

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Solution

The fourth proportional to 1,612.60, 2,418.22 and 516.67 is: 774.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.60 : 2,418.22 = 516.67 : x
  2. Step 2: Convert to fraction form
    1,612.60/2,418.22 = 516.67/x
  3. Step 3: Cross multiply
    1,612.60x = 2,418.22 × 516.67
  4. Step 4: Simplify right side
    1,612.60x = 1,249,421.73
  5. Step 5: Solve for x
    x = 1,249,421.73/1,612.60
  6. Step 6: Final answer
    x = 774.79

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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.