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Finding the Fourth Proportional to 943.04, 1,413.07 and 633.76

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Solution

The fourth proportional to 943.04, 1,413.07 and 633.76 is: 949.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.04 : 1,413.07 = 633.76 : x
  2. Step 2: Convert to fraction form
    943.04/1,413.07 = 633.76/x
  3. Step 3: Cross multiply
    943.04x = 1,413.07 × 633.76
  4. Step 4: Simplify right side
    943.04x = 895,542.13
  5. Step 5: Solve for x
    x = 895,542.13/943.04
  6. Step 6: Final answer
    x = 949.63

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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.