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Finding the Fourth Proportional to 943.36, 1,413.24 and 713.76

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Solution

The fourth proportional to 943.36, 1,413.24 and 713.76 is: 1,069.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.36 : 1,413.24 = 713.76 : x
  2. Step 2: Convert to fraction form
    943.36/1,413.24 = 713.76/x
  3. Step 3: Cross multiply
    943.36x = 1,413.24 × 713.76
  4. Step 4: Simplify right side
    943.36x = 1,008,714.18
  5. Step 5: Solve for x
    x = 1,008,714.18/943.36
  6. Step 6: Final answer
    x = 1,069.28

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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.