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Finding the Fourth Proportional to 513.64, 769.08 and 414.28

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Solution

The fourth proportional to 513.64, 769.08 and 414.28 is: 620.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.64 : 769.08 = 414.28 : x
  2. Step 2: Convert to fraction form
    513.64/769.08 = 414.28/x
  3. Step 3: Cross multiply
    513.64x = 769.08 × 414.28
  4. Step 4: Simplify right side
    513.64x = 318,610.62
  5. Step 5: Solve for x
    x = 318,610.62/513.64
  6. Step 6: Final answer
    x = 620.31

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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.