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Finding the Fourth Proportional to 943.48, 1,413.92 and 712.18

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Solution

The fourth proportional to 943.48, 1,413.92 and 712.18 is: 1,067.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.48 : 1,413.92 = 712.18 : x
  2. Step 2: Convert to fraction form
    943.48/1,413.92 = 712.18/x
  3. Step 3: Cross multiply
    943.48x = 1,413.92 × 712.18
  4. Step 4: Simplify right side
    943.48x = 1,006,963.79
  5. Step 5: Solve for x
    x = 1,006,963.79/943.48
  6. Step 6: Final answer
    x = 1,067.29

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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.