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Finding the Fourth Proportional to 422.96, 633.80 and 346.46

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Solution

The fourth proportional to 422.96, 633.80 and 346.46 is: 519.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.96 : 633.80 = 346.46 : x
  2. Step 2: Convert to fraction form
    422.96/633.80 = 346.46/x
  3. Step 3: Cross multiply
    422.96x = 633.80 × 346.46
  4. Step 4: Simplify right side
    422.96x = 219,584.05
  5. Step 5: Solve for x
    x = 219,584.05/422.96
  6. Step 6: Final answer
    x = 519.17

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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.