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Finding the Fourth Proportional to 513.45, 769.35 and 410.19

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Solution

The fourth proportional to 513.45, 769.35 and 410.19 is: 614.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.45 : 769.35 = 410.19 : x
  2. Step 2: Convert to fraction form
    513.45/769.35 = 410.19/x
  3. Step 3: Cross multiply
    513.45x = 769.35 × 410.19
  4. Step 4: Simplify right side
    513.45x = 315,579.68
  5. Step 5: Solve for x
    x = 315,579.68/513.45
  6. Step 6: Final answer
    x = 614.63

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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.