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Finding the Fourth Proportional to 1,009.80, 1,394.94 and 779.88

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Solution

The fourth proportional to 1,009.80, 1,394.94 and 779.88 is: 1,077.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.80 : 1,394.94 = 779.88 : x
  2. Step 2: Convert to fraction form
    1,009.80/1,394.94 = 779.88/x
  3. Step 3: Cross multiply
    1,009.80x = 1,394.94 × 779.88
  4. Step 4: Simplify right side
    1,009.80x = 1,087,885.81
  5. Step 5: Solve for x
    x = 1,087,885.81/1,009.80
  6. Step 6: Final answer
    x = 1,077.33

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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.