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Finding the Fourth Proportional to 425.45, 634.84 and 386.27

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Solution

The fourth proportional to 425.45, 634.84 and 386.27 is: 576.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.45 : 634.84 = 386.27 : x
  2. Step 2: Convert to fraction form
    425.45/634.84 = 386.27/x
  3. Step 3: Cross multiply
    425.45x = 634.84 × 386.27
  4. Step 4: Simplify right side
    425.45x = 245,217.89
  5. Step 5: Solve for x
    x = 245,217.89/425.45
  6. Step 6: Final answer
    x = 576.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.