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Finding the Fourth Proportional to 513.30, 768.96 and 397.68

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Solution

The fourth proportional to 513.30, 768.96 and 397.68 is: 595.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.30 : 768.96 = 397.68 : x
  2. Step 2: Convert to fraction form
    513.30/768.96 = 397.68/x
  3. Step 3: Cross multiply
    513.30x = 768.96 × 397.68
  4. Step 4: Simplify right side
    513.30x = 305,800.01
  5. Step 5: Solve for x
    x = 305,800.01/513.30
  6. Step 6: Final answer
    x = 595.75

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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.