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Finding the Fourth Proportional to 782.22, 1,078.20 and 738.48

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Solution

The fourth proportional to 782.22, 1,078.20 and 738.48 is: 1,017.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.22 : 1,078.20 = 738.48 : x
  2. Step 2: Convert to fraction form
    782.22/1,078.20 = 738.48/x
  3. Step 3: Cross multiply
    782.22x = 1,078.20 × 738.48
  4. Step 4: Simplify right side
    782.22x = 796,229.14
  5. Step 5: Solve for x
    x = 796,229.14/782.22
  6. Step 6: Final answer
    x = 1,017.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.