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Finding the Fourth Proportional to 914.99, 1,363.78 and 863.09

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Solution

The fourth proportional to 914.99, 1,363.78 and 863.09 is: 1,286.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.99 : 1,363.78 = 863.09 : x
  2. Step 2: Convert to fraction form
    914.99/1,363.78 = 863.09/x
  3. Step 3: Cross multiply
    914.99x = 1,363.78 × 863.09
  4. Step 4: Simplify right side
    914.99x = 1,177,064.88
  5. Step 5: Solve for x
    x = 1,177,064.88/914.99
  6. Step 6: Final answer
    x = 1,286.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.