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Finding the Fourth Proportional to 865.22, 1,297.42 and 309.83

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Solution

The fourth proportional to 865.22, 1,297.42 and 309.83 is: 464.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.22 : 1,297.42 = 309.83 : x
  2. Step 2: Convert to fraction form
    865.22/1,297.42 = 309.83/x
  3. Step 3: Cross multiply
    865.22x = 1,297.42 × 309.83
  4. Step 4: Simplify right side
    865.22x = 401,972.38
  5. Step 5: Solve for x
    x = 401,972.38/865.22
  6. Step 6: Final answer
    x = 464.59

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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.