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Finding the Fourth Proportional to 911.34, 1,369.74 and 810.19

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Solution

The fourth proportional to 911.34, 1,369.74 and 810.19 is: 1,217.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.34 : 1,369.74 = 810.19 : x
  2. Step 2: Convert to fraction form
    911.34/1,369.74 = 810.19/x
  3. Step 3: Cross multiply
    911.34x = 1,369.74 × 810.19
  4. Step 4: Simplify right side
    911.34x = 1,109,749.65
  5. Step 5: Solve for x
    x = 1,109,749.65/911.34
  6. Step 6: Final answer
    x = 1,217.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.