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Finding the Fourth Proportional to 1,188.44, 1,640.02 and 664.52

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Solution

The fourth proportional to 1,188.44, 1,640.02 and 664.52 is: 917.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.44 : 1,640.02 = 664.52 : x
  2. Step 2: Convert to fraction form
    1,188.44/1,640.02 = 664.52/x
  3. Step 3: Cross multiply
    1,188.44x = 1,640.02 × 664.52
  4. Step 4: Simplify right side
    1,188.44x = 1,089,826.09
  5. Step 5: Solve for x
    x = 1,089,826.09/1,188.44
  6. Step 6: Final answer
    x = 917.02

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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.