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Finding the Fourth Proportional to 650.82, 976.20 and 393.78

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Solution

The fourth proportional to 650.82, 976.20 and 393.78 is: 590.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.82 : 976.20 = 393.78 : x
  2. Step 2: Convert to fraction form
    650.82/976.20 = 393.78/x
  3. Step 3: Cross multiply
    650.82x = 976.20 × 393.78
  4. Step 4: Simplify right side
    650.82x = 384,408.04
  5. Step 5: Solve for x
    x = 384,408.04/650.82
  6. Step 6: Final answer
    x = 590.65

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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.