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Finding the Fourth Proportional to 1,413.75, 2,118.93 and 797.31

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Solution

The fourth proportional to 1,413.75, 2,118.93 and 797.31 is: 1,195.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.75 : 2,118.93 = 797.31 : x
  2. Step 2: Convert to fraction form
    1,413.75/2,118.93 = 797.31/x
  3. Step 3: Cross multiply
    1,413.75x = 2,118.93 × 797.31
  4. Step 4: Simplify right side
    1,413.75x = 1,689,441.09
  5. Step 5: Solve for x
    x = 1,689,441.09/1,413.75
  6. Step 6: Final answer
    x = 1,195.00

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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.