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Finding the Fourth Proportional to 819.90, 1,222.38 and 742.14

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Solution

The fourth proportional to 819.90, 1,222.38 and 742.14 is: 1,106.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.90 : 1,222.38 = 742.14 : x
  2. Step 2: Convert to fraction form
    819.90/1,222.38 = 742.14/x
  3. Step 3: Cross multiply
    819.90x = 1,222.38 × 742.14
  4. Step 4: Simplify right side
    819.90x = 907,177.09
  5. Step 5: Solve for x
    x = 907,177.09/819.90
  6. Step 6: Final answer
    x = 1,106.45

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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.