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Finding the Fourth Proportional to 650.63, 976.41 and 445.40

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Solution

The fourth proportional to 650.63, 976.41 and 445.40 is: 668.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.63 : 976.41 = 445.40 : x
  2. Step 2: Convert to fraction form
    650.63/976.41 = 445.40/x
  3. Step 3: Cross multiply
    650.63x = 976.41 × 445.40
  4. Step 4: Simplify right side
    650.63x = 434,893.01
  5. Step 5: Solve for x
    x = 434,893.01/650.63
  6. Step 6: Final answer
    x = 668.42

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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.