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Finding the Fourth Proportional to 911.13, 1,359.80 and 823.65

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Solution

The fourth proportional to 911.13, 1,359.80 and 823.65 is: 1,229.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.13 : 1,359.80 = 823.65 : x
  2. Step 2: Convert to fraction form
    911.13/1,359.80 = 823.65/x
  3. Step 3: Cross multiply
    911.13x = 1,359.80 × 823.65
  4. Step 4: Simplify right side
    911.13x = 1,119,999.27
  5. Step 5: Solve for x
    x = 1,119,999.27/911.13
  6. Step 6: Final answer
    x = 1,229.24

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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.