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Finding the Fourth Proportional to 1,413.06, 2,119.06 and 475.75

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Solution

The fourth proportional to 1,413.06, 2,119.06 and 475.75 is: 713.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.06 : 2,119.06 = 475.75 : x
  2. Step 2: Convert to fraction form
    1,413.06/2,119.06 = 475.75/x
  3. Step 3: Cross multiply
    1,413.06x = 2,119.06 × 475.75
  4. Step 4: Simplify right side
    1,413.06x = 1,008,142.80
  5. Step 5: Solve for x
    x = 1,008,142.80/1,413.06
  6. Step 6: Final answer
    x = 713.45

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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.