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Finding the Fourth Proportional to 819.26, 1,224.10 and 790.56

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Solution

The fourth proportional to 819.26, 1,224.10 and 790.56 is: 1,181.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.26 : 1,224.10 = 790.56 : x
  2. Step 2: Convert to fraction form
    819.26/1,224.10 = 790.56/x
  3. Step 3: Cross multiply
    819.26x = 1,224.10 × 790.56
  4. Step 4: Simplify right side
    819.26x = 967,718.38
  5. Step 5: Solve for x
    x = 967,718.38/819.26
  6. Step 6: Final answer
    x = 1,181.21

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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.