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Finding the Fourth Proportional to 936.65, 1,293.99 and 798.19

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Solution

The fourth proportional to 936.65, 1,293.99 and 798.19 is: 1,102.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.65 : 1,293.99 = 798.19 : x
  2. Step 2: Convert to fraction form
    936.65/1,293.99 = 798.19/x
  3. Step 3: Cross multiply
    936.65x = 1,293.99 × 798.19
  4. Step 4: Simplify right side
    936.65x = 1,032,849.88
  5. Step 5: Solve for x
    x = 1,032,849.88/936.65
  6. Step 6: Final answer
    x = 1,102.71

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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.