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Finding the Fourth Proportional to 422.80, 580 and 412

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Solution

The fourth proportional to 422.80, 580 and 412 is: 565.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.80 : 580 = 412 : x
  2. Step 2: Convert to fraction form
    422.80/580 = 412/x
  3. Step 3: Cross multiply
    422.80x = 580 × 412
  4. Step 4: Simplify right side
    422.80x = 238,960
  5. Step 5: Solve for x
    x = 238,960/422.80
  6. Step 6: Final answer
    x = 565.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.