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Finding the Fourth Proportional to 1,413.36, 2,119.78 and 591.42

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Solution

The fourth proportional to 1,413.36, 2,119.78 and 591.42 is: 887.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.36 : 2,119.78 = 591.42 : x
  2. Step 2: Convert to fraction form
    1,413.36/2,119.78 = 591.42/x
  3. Step 3: Cross multiply
    1,413.36x = 2,119.78 × 591.42
  4. Step 4: Simplify right side
    1,413.36x = 1,253,680.29
  5. Step 5: Solve for x
    x = 1,253,680.29/1,413.36
  6. Step 6: Final answer
    x = 887.02

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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.