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Finding the Fourth Proportional to 819.33, 1,222.55 and 741.57

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Solution

The fourth proportional to 819.33, 1,222.55 and 741.57 is: 1,106.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.33 : 1,222.55 = 741.57 : x
  2. Step 2: Convert to fraction form
    819.33/1,222.55 = 741.57/x
  3. Step 3: Cross multiply
    819.33x = 1,222.55 × 741.57
  4. Step 4: Simplify right side
    819.33x = 906,602.70
  5. Step 5: Solve for x
    x = 906,602.70/819.33
  6. Step 6: Final answer
    x = 1,106.52

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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.