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Finding the Fourth Proportional to 943.45, 1,413.65 and 833.19

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Solution

The fourth proportional to 943.45, 1,413.65 and 833.19 is: 1,248.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.45 : 1,413.65 = 833.19 : x
  2. Step 2: Convert to fraction form
    943.45/1,413.65 = 833.19/x
  3. Step 3: Cross multiply
    943.45x = 1,413.65 × 833.19
  4. Step 4: Simplify right side
    943.45x = 1,177,835.83
  5. Step 5: Solve for x
    x = 1,177,835.83/943.45
  6. Step 6: Final answer
    x = 1,248.44

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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.