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Finding the Fourth Proportional to 851.09, 1,270.16 and 829.22

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Solution

The fourth proportional to 851.09, 1,270.16 and 829.22 is: 1,237.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.09 : 1,270.16 = 829.22 : x
  2. Step 2: Convert to fraction form
    851.09/1,270.16 = 829.22/x
  3. Step 3: Cross multiply
    851.09x = 1,270.16 × 829.22
  4. Step 4: Simplify right side
    851.09x = 1,053,247.32
  5. Step 5: Solve for x
    x = 1,053,247.32/851.09
  6. Step 6: Final answer
    x = 1,237.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.