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Finding the Fourth Proportional to 422.63, 584.34 and 416.42

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Solution

The fourth proportional to 422.63, 584.34 and 416.42 is: 575.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.63 : 584.34 = 416.42 : x
  2. Step 2: Convert to fraction form
    422.63/584.34 = 416.42/x
  3. Step 3: Cross multiply
    422.63x = 584.34 × 416.42
  4. Step 4: Simplify right side
    422.63x = 243,330.86
  5. Step 5: Solve for x
    x = 243,330.86/422.63
  6. Step 6: Final answer
    x = 575.75

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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.