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Finding the Fourth Proportional to 460.60, 635.16 and 422.65

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Solution

The fourth proportional to 460.60, 635.16 and 422.65 is: 582.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.60 : 635.16 = 422.65 : x
  2. Step 2: Convert to fraction form
    460.60/635.16 = 422.65/x
  3. Step 3: Cross multiply
    460.60x = 635.16 × 422.65
  4. Step 4: Simplify right side
    460.60x = 268,450.37
  5. Step 5: Solve for x
    x = 268,450.37/460.60
  6. Step 6: Final answer
    x = 582.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.