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Finding the Fourth Proportional to 1,089.66, 1,640.30 and 938.95

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Solution

The fourth proportional to 1,089.66, 1,640.30 and 938.95 is: 1,413.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.66 : 1,640.30 = 938.95 : x
  2. Step 2: Convert to fraction form
    1,089.66/1,640.30 = 938.95/x
  3. Step 3: Cross multiply
    1,089.66x = 1,640.30 × 938.95
  4. Step 4: Simplify right side
    1,089.66x = 1,540,159.69
  5. Step 5: Solve for x
    x = 1,540,159.69/1,089.66
  6. Step 6: Final answer
    x = 1,413.43

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