Home / 1,413.10-2,116.80-680.45

Finding the Fourth Proportional to 1,413.10, 2,116.80 and 680.45

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Solution

The fourth proportional to 1,413.10, 2,116.80 and 680.45 is: 1,019.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.10 : 2,116.80 = 680.45 : x
  2. Step 2: Convert to fraction form
    1,413.10/2,116.80 = 680.45/x
  3. Step 3: Cross multiply
    1,413.10x = 2,116.80 × 680.45
  4. Step 4: Simplify right side
    1,413.10x = 1,440,376.56
  5. Step 5: Solve for x
    x = 1,440,376.56/1,413.10
  6. Step 6: Final answer
    x = 1,019.30

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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.