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Finding the Fourth Proportional to 425.74, 639.68 and 271.74

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Solution

The fourth proportional to 425.74, 639.68 and 271.74 is: 408.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.74 : 639.68 = 271.74 : x
  2. Step 2: Convert to fraction form
    425.74/639.68 = 271.74/x
  3. Step 3: Cross multiply
    425.74x = 639.68 × 271.74
  4. Step 4: Simplify right side
    425.74x = 173,822.09
  5. Step 5: Solve for x
    x = 173,822.09/425.74
  6. Step 6: Final answer
    x = 408.28

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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.