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Finding the Fourth Proportional to 851.55, 1,194.60 and 851.55

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Solution

The fourth proportional to 851.55, 1,194.60 and 851.55 is: 1,194.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.55 : 1,194.60 = 851.55 : x
  2. Step 2: Convert to fraction form
    851.55/1,194.60 = 851.55/x
  3. Step 3: Cross multiply
    851.55x = 1,194.60 × 851.55
  4. Step 4: Simplify right side
    851.55x = 1,017,261.63
  5. Step 5: Solve for x
    x = 1,017,261.63/851.55
  6. Step 6: Final answer
    x = 1,194.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.