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Finding the Fourth Proportional to 1,609.88, 2,414.66 and 514.05

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Solution

The fourth proportional to 1,609.88, 2,414.66 and 514.05 is: 771.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.88 : 2,414.66 = 514.05 : x
  2. Step 2: Convert to fraction form
    1,609.88/2,414.66 = 514.05/x
  3. Step 3: Cross multiply
    1,609.88x = 2,414.66 × 514.05
  4. Step 4: Simplify right side
    1,609.88x = 1,241,255.97
  5. Step 5: Solve for x
    x = 1,241,255.97/1,609.88
  6. Step 6: Final answer
    x = 771.02

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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.