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Finding the Fourth Proportional to 422.87, 580.16 and 402.21

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Solution

The fourth proportional to 422.87, 580.16 and 402.21 is: 551.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.87 : 580.16 = 402.21 : x
  2. Step 2: Convert to fraction form
    422.87/580.16 = 402.21/x
  3. Step 3: Cross multiply
    422.87x = 580.16 × 402.21
  4. Step 4: Simplify right side
    422.87x = 233,347.16
  5. Step 5: Solve for x
    x = 233,347.16/422.87
  6. Step 6: Final answer
    x = 551.82

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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.