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Finding the Fourth Proportional to 422.70, 631.34 and 325.20

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Solution

The fourth proportional to 422.70, 631.34 and 325.20 is: 485.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.70 : 631.34 = 325.20 : x
  2. Step 2: Convert to fraction form
    422.70/631.34 = 325.20/x
  3. Step 3: Cross multiply
    422.70x = 631.34 × 325.20
  4. Step 4: Simplify right side
    422.70x = 205,311.77
  5. Step 5: Solve for x
    x = 205,311.77/422.70
  6. Step 6: Final answer
    x = 485.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.