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Finding the Fourth Proportional to 1,413.66, 2,118.78 and 681.60

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Solution

The fourth proportional to 1,413.66, 2,118.78 and 681.60 is: 1,021.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.66 : 2,118.78 = 681.60 : x
  2. Step 2: Convert to fraction form
    1,413.66/2,118.78 = 681.60/x
  3. Step 3: Cross multiply
    1,413.66x = 2,118.78 × 681.60
  4. Step 4: Simplify right side
    1,413.66x = 1,444,160.45
  5. Step 5: Solve for x
    x = 1,444,160.45/1,413.66
  6. Step 6: Final answer
    x = 1,021.58

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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.