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Finding the Fourth Proportional to 1,339.76, 2,007.82 and 755.04

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Solution

The fourth proportional to 1,339.76, 2,007.82 and 755.04 is: 1,131.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.76 : 2,007.82 = 755.04 : x
  2. Step 2: Convert to fraction form
    1,339.76/2,007.82 = 755.04/x
  3. Step 3: Cross multiply
    1,339.76x = 2,007.82 × 755.04
  4. Step 4: Simplify right side
    1,339.76x = 1,515,984.41
  5. Step 5: Solve for x
    x = 1,515,984.41/1,339.76
  6. Step 6: Final answer
    x = 1,131.53

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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.