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Finding the Fourth Proportional to 1,383.45, 1,908.95 and 793.87

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Solution

The fourth proportional to 1,383.45, 1,908.95 and 793.87 is: 1,095.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.45 : 1,908.95 = 793.87 : x
  2. Step 2: Convert to fraction form
    1,383.45/1,908.95 = 793.87/x
  3. Step 3: Cross multiply
    1,383.45x = 1,908.95 × 793.87
  4. Step 4: Simplify right side
    1,383.45x = 1,515,456.55
  5. Step 5: Solve for x
    x = 1,515,456.55/1,383.45
  6. Step 6: Final answer
    x = 1,095.42

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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.