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Finding the Fourth Proportional to 865.82, 1,195.14 and 668.99

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Solution

The fourth proportional to 865.82, 1,195.14 and 668.99 is: 923.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.82 : 1,195.14 = 668.99 : x
  2. Step 2: Convert to fraction form
    865.82/1,195.14 = 668.99/x
  3. Step 3: Cross multiply
    865.82x = 1,195.14 × 668.99
  4. Step 4: Simplify right side
    865.82x = 799,536.71
  5. Step 5: Solve for x
    x = 799,536.71/865.82
  6. Step 6: Final answer
    x = 923.44

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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.