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Finding the Fourth Proportional to 850.91, 1,275.21 and 829.31

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Solution

The fourth proportional to 850.91, 1,275.21 and 829.31 is: 1,242.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.91 : 1,275.21 = 829.31 : x
  2. Step 2: Convert to fraction form
    850.91/1,275.21 = 829.31/x
  3. Step 3: Cross multiply
    850.91x = 1,275.21 × 829.31
  4. Step 4: Simplify right side
    850.91x = 1,057,538.03
  5. Step 5: Solve for x
    x = 1,057,538.03/850.91
  6. Step 6: Final answer
    x = 1,242.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.