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Finding the Fourth Proportional to 980.14, 1,352 and 848.92

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Solution

The fourth proportional to 980.14, 1,352 and 848.92 is: 1,171.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.14 : 1,352 = 848.92 : x
  2. Step 2: Convert to fraction form
    980.14/1,352 = 848.92/x
  3. Step 3: Cross multiply
    980.14x = 1,352 × 848.92
  4. Step 4: Simplify right side
    980.14x = 1,147,739.84
  5. Step 5: Solve for x
    x = 1,147,739.84/980.14
  6. Step 6: Final answer
    x = 1,171.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.