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Finding the Fourth Proportional to 778.50, 1,075.14 and 773.10

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Solution

The fourth proportional to 778.50, 1,075.14 and 773.10 is: 1,067.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.50 : 1,075.14 = 773.10 : x
  2. Step 2: Convert to fraction form
    778.50/1,075.14 = 773.10/x
  3. Step 3: Cross multiply
    778.50x = 1,075.14 × 773.10
  4. Step 4: Simplify right side
    778.50x = 831,190.73
  5. Step 5: Solve for x
    x = 831,190.73/778.50
  6. Step 6: Final answer
    x = 1,067.68

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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.