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Finding the Fourth Proportional to 911.63, 1,360.55 and 824.15

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Solution

The fourth proportional to 911.63, 1,360.55 and 824.15 is: 1,229.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.63 : 1,360.55 = 824.15 : x
  2. Step 2: Convert to fraction form
    911.63/1,360.55 = 824.15/x
  3. Step 3: Cross multiply
    911.63x = 1,360.55 × 824.15
  4. Step 4: Simplify right side
    911.63x = 1,121,286.36
  5. Step 5: Solve for x
    x = 1,121,286.36/911.63
  6. Step 6: Final answer
    x = 1,229.99

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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.