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Finding the Fourth Proportional to 889.20, 1,333.32 and 779.76

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Solution

The fourth proportional to 889.20, 1,333.32 and 779.76 is: 1,169.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.20 : 1,333.32 = 779.76 : x
  2. Step 2: Convert to fraction form
    889.20/1,333.32 = 779.76/x
  3. Step 3: Cross multiply
    889.20x = 1,333.32 × 779.76
  4. Step 4: Simplify right side
    889.20x = 1,039,669.60
  5. Step 5: Solve for x
    x = 1,039,669.60/889.20
  6. Step 6: Final answer
    x = 1,169.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.