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Finding the Fourth Proportional to 423.74, 634.27 and 379.72

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Solution

The fourth proportional to 423.74, 634.27 and 379.72 is: 568.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.74 : 634.27 = 379.72 : x
  2. Step 2: Convert to fraction form
    423.74/634.27 = 379.72/x
  3. Step 3: Cross multiply
    423.74x = 634.27 × 379.72
  4. Step 4: Simplify right side
    423.74x = 240,845.00
  5. Step 5: Solve for x
    x = 240,845.00/423.74
  6. Step 6: Final answer
    x = 568.38

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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.