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Finding the Fourth Proportional to 1,380.57, 1,905.19 and 759.57

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Solution

The fourth proportional to 1,380.57, 1,905.19 and 759.57 is: 1,048.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.57 : 1,905.19 = 759.57 : x
  2. Step 2: Convert to fraction form
    1,380.57/1,905.19 = 759.57/x
  3. Step 3: Cross multiply
    1,380.57x = 1,905.19 × 759.57
  4. Step 4: Simplify right side
    1,380.57x = 1,447,111.84
  5. Step 5: Solve for x
    x = 1,447,111.84/1,380.57
  6. Step 6: Final answer
    x = 1,048.20

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Why These Related Problems?

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