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Finding the Fourth Proportional to 819.33, 1,219.73 and 814.47

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Solution

The fourth proportional to 819.33, 1,219.73 and 814.47 is: 1,212.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.33 : 1,219.73 = 814.47 : x
  2. Step 2: Convert to fraction form
    819.33/1,219.73 = 814.47/x
  3. Step 3: Cross multiply
    819.33x = 1,219.73 × 814.47
  4. Step 4: Simplify right side
    819.33x = 993,423.32
  5. Step 5: Solve for x
    x = 993,423.32/819.33
  6. Step 6: Final answer
    x = 1,212.48

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1.5x scale

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.