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Finding the Fourth Proportional to 512.40, 768.60 and 376.40

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Solution

The fourth proportional to 512.40, 768.60 and 376.40 is: 564.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.40 : 768.60 = 376.40 : x
  2. Step 2: Convert to fraction form
    512.40/768.60 = 376.40/x
  3. Step 3: Cross multiply
    512.40x = 768.60 × 376.40
  4. Step 4: Simplify right side
    512.40x = 289,301.04
  5. Step 5: Solve for x
    x = 289,301.04/512.40
  6. Step 6: Final answer
    x = 564.60

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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.