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Finding the Fourth Proportional to 422.28, 631.94 and 393.93

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Solution

The fourth proportional to 422.28, 631.94 and 393.93 is: 589.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.28 : 631.94 = 393.93 : x
  2. Step 2: Convert to fraction form
    422.28/631.94 = 393.93/x
  3. Step 3: Cross multiply
    422.28x = 631.94 × 393.93
  4. Step 4: Simplify right side
    422.28x = 248,938.15
  5. Step 5: Solve for x
    x = 248,938.15/422.28
  6. Step 6: Final answer
    x = 589.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.