Home / 1,413.40-2,120.10-722.20

Finding the Fourth Proportional to 1,413.40, 2,120.10 and 722.20

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Solution

The fourth proportional to 1,413.40, 2,120.10 and 722.20 is: 1,083.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.40 : 2,120.10 = 722.20 : x
  2. Step 2: Convert to fraction form
    1,413.40/2,120.10 = 722.20/x
  3. Step 3: Cross multiply
    1,413.40x = 2,120.10 × 722.20
  4. Step 4: Simplify right side
    1,413.40x = 1,531,136.22
  5. Step 5: Solve for x
    x = 1,531,136.22/1,413.40
  6. Step 6: Final answer
    x = 1,083.30

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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.