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Finding the Fourth Proportional to 942.68, 1,413.95 and 422.71

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Solution

The fourth proportional to 942.68, 1,413.95 and 422.71 is: 634.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.68 : 1,413.95 = 422.71 : x
  2. Step 2: Convert to fraction form
    942.68/1,413.95 = 422.71/x
  3. Step 3: Cross multiply
    942.68x = 1,413.95 × 422.71
  4. Step 4: Simplify right side
    942.68x = 597,688.69
  5. Step 5: Solve for x
    x = 597,688.69/942.68
  6. Step 6: Final answer
    x = 634.03

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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.