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Finding the Fourth Proportional to 850.88, 1,171.32 and 732.08

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Solution

The fourth proportional to 850.88, 1,171.32 and 732.08 is: 1,007.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.88 : 1,171.32 = 732.08 : x
  2. Step 2: Convert to fraction form
    850.88/1,171.32 = 732.08/x
  3. Step 3: Cross multiply
    850.88x = 1,171.32 × 732.08
  4. Step 4: Simplify right side
    850.88x = 857,499.95
  5. Step 5: Solve for x
    x = 857,499.95/850.88
  6. Step 6: Final answer
    x = 1,007.78

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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.