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Finding the Fourth Proportional to 421.96, 635.22 and 379.58

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Solution

The fourth proportional to 421.96, 635.22 and 379.58 is: 571.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.96 : 635.22 = 379.58 : x
  2. Step 2: Convert to fraction form
    421.96/635.22 = 379.58/x
  3. Step 3: Cross multiply
    421.96x = 635.22 × 379.58
  4. Step 4: Simplify right side
    421.96x = 241,111.73
  5. Step 5: Solve for x
    x = 241,111.73/421.96
  6. Step 6: Final answer
    x = 571.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.