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Finding the Fourth Proportional to 512.80, 769.36 and 464.64

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Solution

The fourth proportional to 512.80, 769.36 and 464.64 is: 697.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.80 : 769.36 = 464.64 : x
  2. Step 2: Convert to fraction form
    512.80/769.36 = 464.64/x
  3. Step 3: Cross multiply
    512.80x = 769.36 × 464.64
  4. Step 4: Simplify right side
    512.80x = 357,475.43
  5. Step 5: Solve for x
    x = 357,475.43/512.80
  6. Step 6: Final answer
    x = 697.10

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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.