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Finding the Fourth Proportional to 426.45, 639.91 and 324.37

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Solution

The fourth proportional to 426.45, 639.91 and 324.37 is: 486.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.45 : 639.91 = 324.37 : x
  2. Step 2: Convert to fraction form
    426.45/639.91 = 324.37/x
  3. Step 3: Cross multiply
    426.45x = 639.91 × 324.37
  4. Step 4: Simplify right side
    426.45x = 207,564.41
  5. Step 5: Solve for x
    x = 207,564.41/426.45
  6. Step 6: Final answer
    x = 486.73

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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.