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Finding the Fourth Proportional to 513, 768.40 and 376.28

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Solution

The fourth proportional to 513, 768.40 and 376.28 is: 563.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    513 : 768.40 = 376.28 : x
  2. Step 2: Convert to fraction form
    513/768.40 = 376.28/x
  3. Step 3: Cross multiply
    513x = 768.40 × 376.28
  4. Step 4: Simplify right side
    513x = 289,133.55
  5. Step 5: Solve for x
    x = 289,133.55/513
  6. Step 6: Final answer
    x = 563.61

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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.