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Finding the Fourth Proportional to 778.54, 1,075.44 and 622.27

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Solution

The fourth proportional to 778.54, 1,075.44 and 622.27 is: 859.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.54 : 1,075.44 = 622.27 : x
  2. Step 2: Convert to fraction form
    778.54/1,075.44 = 622.27/x
  3. Step 3: Cross multiply
    778.54x = 1,075.44 × 622.27
  4. Step 4: Simplify right side
    778.54x = 669,215.66
  5. Step 5: Solve for x
    x = 669,215.66/778.54
  6. Step 6: Final answer
    x = 859.57

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Why These Related Problems?

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