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Finding the Fourth Proportional to 894.45, 1,231.79 and 805.17

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Solution

The fourth proportional to 894.45, 1,231.79 and 805.17 is: 1,108.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.45 : 1,231.79 = 805.17 : x
  2. Step 2: Convert to fraction form
    894.45/1,231.79 = 805.17/x
  3. Step 3: Cross multiply
    894.45x = 1,231.79 × 805.17
  4. Step 4: Simplify right side
    894.45x = 991,796.33
  5. Step 5: Solve for x
    x = 991,796.33/894.45
  6. Step 6: Final answer
    x = 1,108.83

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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.