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Finding the Fourth Proportional to 943.20, 1,413.76 and 422.47

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Solution

The fourth proportional to 943.20, 1,413.76 and 422.47 is: 633.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.20 : 1,413.76 = 422.47 : x
  2. Step 2: Convert to fraction form
    943.20/1,413.76 = 422.47/x
  3. Step 3: Cross multiply
    943.20x = 1,413.76 × 422.47
  4. Step 4: Simplify right side
    943.20x = 597,271.19
  5. Step 5: Solve for x
    x = 597,271.19/943.20
  6. Step 6: Final answer
    x = 633.24

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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.