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Finding the Fourth Proportional to 599.20, 894.49 and 512.02

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Solution

The fourth proportional to 599.20, 894.49 and 512.02 is: 764.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.20 : 894.49 = 512.02 : x
  2. Step 2: Convert to fraction form
    599.20/894.49 = 512.02/x
  3. Step 3: Cross multiply
    599.20x = 894.49 × 512.02
  4. Step 4: Simplify right side
    599.20x = 457,999.49
  5. Step 5: Solve for x
    x = 457,999.49/599.20
  6. Step 6: Final answer
    x = 764.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.