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Finding the Fourth Proportional to 1,380.80, 1,905.50 and 759.80

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Solution

The fourth proportional to 1,380.80, 1,905.50 and 759.80 is: 1,048.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.80 : 1,905.50 = 759.80 : x
  2. Step 2: Convert to fraction form
    1,380.80/1,905.50 = 759.80/x
  3. Step 3: Cross multiply
    1,380.80x = 1,905.50 × 759.80
  4. Step 4: Simplify right side
    1,380.80x = 1,447,792.71
  5. Step 5: Solve for x
    x = 1,447,792.71/1,380.80
  6. Step 6: Final answer
    x = 1,048.52

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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.