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Finding the Fourth Proportional to 1,329.52, 1,994.94 and 942.02

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Solution

The fourth proportional to 1,329.52, 1,994.94 and 942.02 is: 1,413.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.52 : 1,994.94 = 942.02 : x
  2. Step 2: Convert to fraction form
    1,329.52/1,994.94 = 942.02/x
  3. Step 3: Cross multiply
    1,329.52x = 1,994.94 × 942.02
  4. Step 4: Simplify right side
    1,329.52x = 1,879,273.38
  5. Step 5: Solve for x
    x = 1,879,273.38/1,329.52
  6. Step 6: Final answer
    x = 1,413.50

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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.