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Finding the Fourth Proportional to 1,297.18, 1,940.98 and 777.54

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Solution

The fourth proportional to 1,297.18, 1,940.98 and 777.54 is: 1,163.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.18 : 1,940.98 = 777.54 : x
  2. Step 2: Convert to fraction form
    1,297.18/1,940.98 = 777.54/x
  3. Step 3: Cross multiply
    1,297.18x = 1,940.98 × 777.54
  4. Step 4: Simplify right side
    1,297.18x = 1,509,189.59
  5. Step 5: Solve for x
    x = 1,509,189.59/1,297.18
  6. Step 6: Final answer
    x = 1,163.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.