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Finding the Fourth Proportional to 1,207.11, 1,667.34 and 892.83

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Solution

The fourth proportional to 1,207.11, 1,667.34 and 892.83 is: 1,233.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.11 : 1,667.34 = 892.83 : x
  2. Step 2: Convert to fraction form
    1,207.11/1,667.34 = 892.83/x
  3. Step 3: Cross multiply
    1,207.11x = 1,667.34 × 892.83
  4. Step 4: Simplify right side
    1,207.11x = 1,488,651.17
  5. Step 5: Solve for x
    x = 1,488,651.17/1,207.11
  6. Step 6: Final answer
    x = 1,233.24

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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.