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Finding the Fourth Proportional to 1,680.49, 2,519.87 and 755.26

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Solution

The fourth proportional to 1,680.49, 2,519.87 and 755.26 is: 1,132.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.49 : 2,519.87 = 755.26 : x
  2. Step 2: Convert to fraction form
    1,680.49/2,519.87 = 755.26/x
  3. Step 3: Cross multiply
    1,680.49x = 2,519.87 × 755.26
  4. Step 4: Simplify right side
    1,680.49x = 1,903,157.02
  5. Step 5: Solve for x
    x = 1,903,157.02/1,680.49
  6. Step 6: Final answer
    x = 1,132.50

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Why These Related Problems?

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