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Finding the Fourth Proportional to 422.10, 580.77 and 412.38

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Solution

The fourth proportional to 422.10, 580.77 and 412.38 is: 567.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.10 : 580.77 = 412.38 : x
  2. Step 2: Convert to fraction form
    422.10/580.77 = 412.38/x
  3. Step 3: Cross multiply
    422.10x = 580.77 × 412.38
  4. Step 4: Simplify right side
    422.10x = 239,497.93
  5. Step 5: Solve for x
    x = 239,497.93/422.10
  6. Step 6: Final answer
    x = 567.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.