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Finding the Fourth Proportional to 650.41, 976.20 and 441.67

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Solution

The fourth proportional to 650.41, 976.20 and 441.67 is: 662.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.41 : 976.20 = 441.67 : x
  2. Step 2: Convert to fraction form
    650.41/976.20 = 441.67/x
  3. Step 3: Cross multiply
    650.41x = 976.20 × 441.67
  4. Step 4: Simplify right side
    650.41x = 431,158.25
  5. Step 5: Solve for x
    x = 431,158.25/650.41
  6. Step 6: Final answer
    x = 662.90

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1.5x scale

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.