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Finding the Fourth Proportional to 943.51, 1,413.43 and 726.02

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Solution

The fourth proportional to 943.51, 1,413.43 and 726.02 is: 1,087.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.51 : 1,413.43 = 726.02 : x
  2. Step 2: Convert to fraction form
    943.51/1,413.43 = 726.02/x
  3. Step 3: Cross multiply
    943.51x = 1,413.43 × 726.02
  4. Step 4: Simplify right side
    943.51x = 1,026,178.45
  5. Step 5: Solve for x
    x = 1,026,178.45/943.51
  6. Step 6: Final answer
    x = 1,087.62

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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.