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Finding the Fourth Proportional to 1,105.92, 1,664.64 and 938.88

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Solution

The fourth proportional to 1,105.92, 1,664.64 and 938.88 is: 1,413.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.92 : 1,664.64 = 938.88 : x
  2. Step 2: Convert to fraction form
    1,105.92/1,664.64 = 938.88/x
  3. Step 3: Cross multiply
    1,105.92x = 1,664.64 × 938.88
  4. Step 4: Simplify right side
    1,105.92x = 1,562,897.20
  5. Step 5: Solve for x
    x = 1,562,897.20/1,105.92
  6. Step 6: Final answer
    x = 1,413.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.