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Finding the Fourth Proportional to 936.24, 1,289.08 and 849.84

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Solution

The fourth proportional to 936.24, 1,289.08 and 849.84 is: 1,170.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.24 : 1,289.08 = 849.84 : x
  2. Step 2: Convert to fraction form
    936.24/1,289.08 = 849.84/x
  3. Step 3: Cross multiply
    936.24x = 1,289.08 × 849.84
  4. Step 4: Simplify right side
    936.24x = 1,095,511.75
  5. Step 5: Solve for x
    x = 1,095,511.75/936.24
  6. Step 6: Final answer
    x = 1,170.12

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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.