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Finding the Fourth Proportional to 1,413.70, 2,120.55 and 548.02

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Solution

The fourth proportional to 1,413.70, 2,120.55 and 548.02 is: 822.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.70 : 2,120.55 = 548.02 : x
  2. Step 2: Convert to fraction form
    1,413.70/2,120.55 = 548.02/x
  3. Step 3: Cross multiply
    1,413.70x = 2,120.55 × 548.02
  4. Step 4: Simplify right side
    1,413.70x = 1,162,103.81
  5. Step 5: Solve for x
    x = 1,162,103.81/1,413.70
  6. Step 6: Final answer
    x = 822.03

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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.