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Finding the Fourth Proportional to 1,731.09, 2,594.19 and 755.14

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Solution

The fourth proportional to 1,731.09, 2,594.19 and 755.14 is: 1,131.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.09 : 2,594.19 = 755.14 : x
  2. Step 2: Convert to fraction form
    1,731.09/2,594.19 = 755.14/x
  3. Step 3: Cross multiply
    1,731.09x = 2,594.19 × 755.14
  4. Step 4: Simplify right side
    1,731.09x = 1,958,976.64
  5. Step 5: Solve for x
    x = 1,958,976.64/1,731.09
  6. Step 6: Final answer
    x = 1,131.64

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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.