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Finding the Fourth Proportional to 422.01, 582.45 and 317.63

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Solution

The fourth proportional to 422.01, 582.45 and 317.63 is: 438.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.01 : 582.45 = 317.63 : x
  2. Step 2: Convert to fraction form
    422.01/582.45 = 317.63/x
  3. Step 3: Cross multiply
    422.01x = 582.45 × 317.63
  4. Step 4: Simplify right side
    422.01x = 185,003.59
  5. Step 5: Solve for x
    x = 185,003.59/422.01
  6. Step 6: Final answer
    x = 438.39

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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.