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Finding the Fourth Proportional to 851.98, 1,175.75 and 822.55

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Solution

The fourth proportional to 851.98, 1,175.75 and 822.55 is: 1,135.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.98 : 1,175.75 = 822.55 : x
  2. Step 2: Convert to fraction form
    851.98/1,175.75 = 822.55/x
  3. Step 3: Cross multiply
    851.98x = 1,175.75 × 822.55
  4. Step 4: Simplify right side
    851.98x = 967,109.05
  5. Step 5: Solve for x
    x = 967,109.05/851.98
  6. Step 6: Final answer
    x = 1,135.13

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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.