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Finding the Fourth Proportional to 1,204.05, 1,806.04 and 814.23

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Solution

The fourth proportional to 1,204.05, 1,806.04 and 814.23 is: 1,221.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.05 : 1,806.04 = 814.23 : x
  2. Step 2: Convert to fraction form
    1,204.05/1,806.04 = 814.23/x
  3. Step 3: Cross multiply
    1,204.05x = 1,806.04 × 814.23
  4. Step 4: Simplify right side
    1,204.05x = 1,470,531.95
  5. Step 5: Solve for x
    x = 1,470,531.95/1,204.05
  6. Step 6: Final answer
    x = 1,221.32

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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.