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Finding the Fourth Proportional to 422.44, 583.41 and 376.63

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Solution

The fourth proportional to 422.44, 583.41 and 376.63 is: 520.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.44 : 583.41 = 376.63 : x
  2. Step 2: Convert to fraction form
    422.44/583.41 = 376.63/x
  3. Step 3: Cross multiply
    422.44x = 583.41 × 376.63
  4. Step 4: Simplify right side
    422.44x = 219,729.71
  5. Step 5: Solve for x
    x = 219,729.71/422.44
  6. Step 6: Final answer
    x = 520.14

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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.