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Finding the Fourth Proportional to 445.22, 666.20 and 434.42

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Solution

The fourth proportional to 445.22, 666.20 and 434.42 is: 650.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.22 : 666.20 = 434.42 : x
  2. Step 2: Convert to fraction form
    445.22/666.20 = 434.42/x
  3. Step 3: Cross multiply
    445.22x = 666.20 × 434.42
  4. Step 4: Simplify right side
    445.22x = 289,410.60
  5. Step 5: Solve for x
    x = 289,410.60/445.22
  6. Step 6: Final answer
    x = 650.04

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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.