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Finding the Fourth Proportional to 2,413.95, 3,621.12 and 770.73

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Solution

The fourth proportional to 2,413.95, 3,621.12 and 770.73 is: 1,156.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.95 : 3,621.12 = 770.73 : x
  2. Step 2: Convert to fraction form
    2,413.95/3,621.12 = 770.73/x
  3. Step 3: Cross multiply
    2,413.95x = 3,621.12 × 770.73
  4. Step 4: Simplify right side
    2,413.95x = 2,790,905.82
  5. Step 5: Solve for x
    x = 2,790,905.82/2,413.95
  6. Step 6: Final answer
    x = 1,156.16

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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.