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Finding the Fourth Proportional to 942.58, 1,413.94 and 422.34

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Solution

The fourth proportional to 942.58, 1,413.94 and 422.34 is: 633.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.58 : 1,413.94 = 422.34 : x
  2. Step 2: Convert to fraction form
    942.58/1,413.94 = 422.34/x
  3. Step 3: Cross multiply
    942.58x = 1,413.94 × 422.34
  4. Step 4: Simplify right side
    942.58x = 597,163.42
  5. Step 5: Solve for x
    x = 597,163.42/942.58
  6. Step 6: Final answer
    x = 633.54

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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.