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Finding the Fourth Proportional to 943.27, 1,413.79 and 553.46

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Solution

The fourth proportional to 943.27, 1,413.79 and 553.46 is: 829.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.27 : 1,413.79 = 553.46 : x
  2. Step 2: Convert to fraction form
    943.27/1,413.79 = 553.46/x
  3. Step 3: Cross multiply
    943.27x = 1,413.79 × 553.46
  4. Step 4: Simplify right side
    943.27x = 782,467.76
  5. Step 5: Solve for x
    x = 782,467.76/943.27
  6. Step 6: Final answer
    x = 829.53

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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.