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Finding the Fourth Proportional to 835.64, 1,152.84 and 481.48

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Solution

The fourth proportional to 835.64, 1,152.84 and 481.48 is: 664.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.64 : 1,152.84 = 481.48 : x
  2. Step 2: Convert to fraction form
    835.64/1,152.84 = 481.48/x
  3. Step 3: Cross multiply
    835.64x = 1,152.84 × 481.48
  4. Step 4: Simplify right side
    835.64x = 555,067.00
  5. Step 5: Solve for x
    x = 555,067.00/835.64
  6. Step 6: Final answer
    x = 664.24

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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.