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Finding the Fourth Proportional to 422.06, 629.87 and 375.93

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Solution

The fourth proportional to 422.06, 629.87 and 375.93 is: 561.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.06 : 629.87 = 375.93 : x
  2. Step 2: Convert to fraction form
    422.06/629.87 = 375.93/x
  3. Step 3: Cross multiply
    422.06x = 629.87 × 375.93
  4. Step 4: Simplify right side
    422.06x = 236,790.09
  5. Step 5: Solve for x
    x = 236,790.09/422.06
  6. Step 6: Final answer
    x = 561.03

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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.