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Finding the Fourth Proportional to 942.44, 1,300.83 and 755.86

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Solution

The fourth proportional to 942.44, 1,300.83 and 755.86 is: 1,043.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.44 : 1,300.83 = 755.86 : x
  2. Step 2: Convert to fraction form
    942.44/1,300.83 = 755.86/x
  3. Step 3: Cross multiply
    942.44x = 1,300.83 × 755.86
  4. Step 4: Simplify right side
    942.44x = 983,245.36
  5. Step 5: Solve for x
    x = 983,245.36/942.44
  6. Step 6: Final answer
    x = 1,043.30

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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.