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Finding the Fourth Proportional to 493.28, 679.90 and 422.81

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Solution

The fourth proportional to 493.28, 679.90 and 422.81 is: 582.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.28 : 679.90 = 422.81 : x
  2. Step 2: Convert to fraction form
    493.28/679.90 = 422.81/x
  3. Step 3: Cross multiply
    493.28x = 679.90 × 422.81
  4. Step 4: Simplify right side
    493.28x = 287,466.40
  5. Step 5: Solve for x
    x = 287,466.40/493.28
  6. Step 6: Final answer
    x = 582.77

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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.