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Finding the Fourth Proportional to 1,360.00, 2,040.60 and 774.98

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Solution

The fourth proportional to 1,360.00, 2,040.60 and 774.98 is: 1,162.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360.00 : 2,040.60 = 774.98 : x
  2. Step 2: Convert to fraction form
    1,360.00/2,040.60 = 774.98/x
  3. Step 3: Cross multiply
    1,360.00x = 2,040.60 × 774.98
  4. Step 4: Simplify right side
    1,360.00x = 1,581,413.99
  5. Step 5: Solve for x
    x = 1,581,413.99/1,360.00
  6. Step 6: Final answer
    x = 1,162.81

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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.