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Finding the Fourth Proportional to 1,610.35, 2,414.81 and 514.42

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Solution

The fourth proportional to 1,610.35, 2,414.81 and 514.42 is: 771.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.35 : 2,414.81 = 514.42 : x
  2. Step 2: Convert to fraction form
    1,610.35/2,414.81 = 514.42/x
  3. Step 3: Cross multiply
    1,610.35x = 2,414.81 × 514.42
  4. Step 4: Simplify right side
    1,610.35x = 1,242,221.81
  5. Step 5: Solve for x
    x = 1,242,221.81/1,610.35
  6. Step 6: Final answer
    x = 771.40

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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.