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Finding the Fourth Proportional to 942.07, 1,413.44 and 422.02

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Solution

The fourth proportional to 942.07, 1,413.44 and 422.02 is: 633.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.07 : 1,413.44 = 422.02 : x
  2. Step 2: Convert to fraction form
    942.07/1,413.44 = 422.02/x
  3. Step 3: Cross multiply
    942.07x = 1,413.44 × 422.02
  4. Step 4: Simplify right side
    942.07x = 596,499.95
  5. Step 5: Solve for x
    x = 596,499.95/942.07
  6. Step 6: Final answer
    x = 633.18

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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.