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Finding the Fourth Proportional to 512.05, 767.04 and 433.62

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Solution

The fourth proportional to 512.05, 767.04 and 433.62 is: 649.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.05 : 767.04 = 433.62 : x
  2. Step 2: Convert to fraction form
    512.05/767.04 = 433.62/x
  3. Step 3: Cross multiply
    512.05x = 767.04 × 433.62
  4. Step 4: Simplify right side
    512.05x = 332,603.88
  5. Step 5: Solve for x
    x = 332,603.88/512.05
  6. Step 6: Final answer
    x = 649.56

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Double scale
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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.