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Finding the Fourth Proportional to 778.07, 1,075.77 and 743.65

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Solution

The fourth proportional to 778.07, 1,075.77 and 743.65 is: 1,028.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.07 : 1,075.77 = 743.65 : x
  2. Step 2: Convert to fraction form
    778.07/1,075.77 = 743.65/x
  3. Step 3: Cross multiply
    778.07x = 1,075.77 × 743.65
  4. Step 4: Simplify right side
    778.07x = 799,993.67
  5. Step 5: Solve for x
    x = 799,993.67/778.07
  6. Step 6: Final answer
    x = 1,028.17

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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.