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Finding the Fourth Proportional to 599.60, 896.67 and 512.12

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Solution

The fourth proportional to 599.60, 896.67 and 512.12 is: 765.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.60 : 896.67 = 512.12 : x
  2. Step 2: Convert to fraction form
    599.60/896.67 = 512.12/x
  3. Step 3: Cross multiply
    599.60x = 896.67 × 512.12
  4. Step 4: Simplify right side
    599.60x = 459,204.88
  5. Step 5: Solve for x
    x = 459,204.88/599.60
  6. Step 6: Final answer
    x = 765.85

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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.