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Finding the Fourth Proportional to 943.98, 1,413.45 and 760.38

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Solution

The fourth proportional to 943.98, 1,413.45 and 760.38 is: 1,138.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.98 : 1,413.45 = 760.38 : x
  2. Step 2: Convert to fraction form
    943.98/1,413.45 = 760.38/x
  3. Step 3: Cross multiply
    943.98x = 1,413.45 × 760.38
  4. Step 4: Simplify right side
    943.98x = 1,074,759.11
  5. Step 5: Solve for x
    x = 1,074,759.11/943.98
  6. Step 6: Final answer
    x = 1,138.54

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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.