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Finding the Fourth Proportional to 911.38, 1,359.79 and 829.30

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Solution

The fourth proportional to 911.38, 1,359.79 and 829.30 is: 1,237.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.38 : 1,359.79 = 829.30 : x
  2. Step 2: Convert to fraction form
    911.38/1,359.79 = 829.30/x
  3. Step 3: Cross multiply
    911.38x = 1,359.79 × 829.30
  4. Step 4: Simplify right side
    911.38x = 1,127,673.85
  5. Step 5: Solve for x
    x = 1,127,673.85/911.38
  6. Step 6: Final answer
    x = 1,237.33

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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.