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Finding the Fourth Proportional to 431.28, 647.69 and 408.22

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Solution

The fourth proportional to 431.28, 647.69 and 408.22 is: 613.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.28 : 647.69 = 408.22 : x
  2. Step 2: Convert to fraction form
    431.28/647.69 = 408.22/x
  3. Step 3: Cross multiply
    431.28x = 647.69 × 408.22
  4. Step 4: Simplify right side
    431.28x = 264,396.35
  5. Step 5: Solve for x
    x = 264,396.35/431.28
  6. Step 6: Final answer
    x = 613.05

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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.