Home / 1,413.59-2,119.66-828.78

Finding the Fourth Proportional to 1,413.59, 2,119.66 and 828.78

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Solution

The fourth proportional to 1,413.59, 2,119.66 and 828.78 is: 1,242.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.59 : 2,119.66 = 828.78 : x
  2. Step 2: Convert to fraction form
    1,413.59/2,119.66 = 828.78/x
  3. Step 3: Cross multiply
    1,413.59x = 2,119.66 × 828.78
  4. Step 4: Simplify right side
    1,413.59x = 1,756,731.81
  5. Step 5: Solve for x
    x = 1,756,731.81/1,413.59
  6. Step 6: Final answer
    x = 1,242.74

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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.