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Finding the Fourth Proportional to 2,413.98, 3,621.42 and 770.49

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Solution

The fourth proportional to 2,413.98, 3,621.42 and 770.49 is: 1,155.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.98 : 3,621.42 = 770.49 : x
  2. Step 2: Convert to fraction form
    2,413.98/3,621.42 = 770.49/x
  3. Step 3: Cross multiply
    2,413.98x = 3,621.42 × 770.49
  4. Step 4: Simplify right side
    2,413.98x = 2,790,267.90
  5. Step 5: Solve for x
    x = 2,790,267.90/2,413.98
  6. Step 6: Final answer
    x = 1,155.88

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1.5x scale

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.