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Finding the Fourth Proportional to 832.88, 1,150.80 and 659.54

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Solution

The fourth proportional to 832.88, 1,150.80 and 659.54 is: 911.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.88 : 1,150.80 = 659.54 : x
  2. Step 2: Convert to fraction form
    832.88/1,150.80 = 659.54/x
  3. Step 3: Cross multiply
    832.88x = 1,150.80 × 659.54
  4. Step 4: Simplify right side
    832.88x = 758,998.63
  5. Step 5: Solve for x
    x = 758,998.63/832.88
  6. Step 6: Final answer
    x = 911.29

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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.