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Finding the Fourth Proportional to 512.19, 768.42 and 464.40

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Solution

The fourth proportional to 512.19, 768.42 and 464.40 is: 696.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.19 : 768.42 = 464.40 : x
  2. Step 2: Convert to fraction form
    512.19/768.42 = 464.40/x
  3. Step 3: Cross multiply
    512.19x = 768.42 × 464.40
  4. Step 4: Simplify right side
    512.19x = 356,854.25
  5. Step 5: Solve for x
    x = 356,854.25/512.19
  6. Step 6: Final answer
    x = 696.72

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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.