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Finding the Fourth Proportional to 426.47, 635.97 and 422.58

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Solution

The fourth proportional to 426.47, 635.97 and 422.58 is: 630.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.47 : 635.97 = 422.58 : x
  2. Step 2: Convert to fraction form
    426.47/635.97 = 422.58/x
  3. Step 3: Cross multiply
    426.47x = 635.97 × 422.58
  4. Step 4: Simplify right side
    426.47x = 268,745.82
  5. Step 5: Solve for x
    x = 268,745.82/426.47
  6. Step 6: Final answer
    x = 630.17

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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.