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Finding the Fourth Proportional to 2,413.78, 3,621.16 and 770.28

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Solution

The fourth proportional to 2,413.78, 3,621.16 and 770.28 is: 1,155.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.78 : 3,621.16 = 770.28 : x
  2. Step 2: Convert to fraction form
    2,413.78/3,621.16 = 770.28/x
  3. Step 3: Cross multiply
    2,413.78x = 3,621.16 × 770.28
  4. Step 4: Simplify right side
    2,413.78x = 2,789,307.12
  5. Step 5: Solve for x
    x = 2,789,307.12/2,413.78
  6. Step 6: Final answer
    x = 1,155.58

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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.