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Finding the Fourth Proportional to 512.19, 764.81 and 406.89

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Solution

The fourth proportional to 512.19, 764.81 and 406.89 is: 607.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.19 : 764.81 = 406.89 : x
  2. Step 2: Convert to fraction form
    512.19/764.81 = 406.89/x
  3. Step 3: Cross multiply
    512.19x = 764.81 × 406.89
  4. Step 4: Simplify right side
    512.19x = 311,194.56
  5. Step 5: Solve for x
    x = 311,194.56/512.19
  6. Step 6: Final answer
    x = 607.58

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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.