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Finding the Fourth Proportional to 421.52, 634.56 and 379.14

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Solution

The fourth proportional to 421.52, 634.56 and 379.14 is: 570.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.52 : 634.56 = 379.14 : x
  2. Step 2: Convert to fraction form
    421.52/634.56 = 379.14/x
  3. Step 3: Cross multiply
    421.52x = 634.56 × 379.14
  4. Step 4: Simplify right side
    421.52x = 240,583.28
  5. Step 5: Solve for x
    x = 240,583.28/421.52
  6. Step 6: Final answer
    x = 570.75

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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.