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Finding the Fourth Proportional to 777.87, 1,074.33 and 728.73

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Solution

The fourth proportional to 777.87, 1,074.33 and 728.73 is: 1,006.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.87 : 1,074.33 = 728.73 : x
  2. Step 2: Convert to fraction form
    777.87/1,074.33 = 728.73/x
  3. Step 3: Cross multiply
    777.87x = 1,074.33 × 728.73
  4. Step 4: Simplify right side
    777.87x = 782,896.50
  5. Step 5: Solve for x
    x = 782,896.50/777.87
  6. Step 6: Final answer
    x = 1,006.46

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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.