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Finding the Fourth Proportional to 1,261.56, 1,736.82 and 1,203

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Solution

The fourth proportional to 1,261.56, 1,736.82 and 1,203 is: 1,656.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.56 : 1,736.82 = 1,203 : x
  2. Step 2: Convert to fraction form
    1,261.56/1,736.82 = 1,203/x
  3. Step 3: Cross multiply
    1,261.56x = 1,736.82 × 1,203
  4. Step 4: Simplify right side
    1,261.56x = 2,089,394.46
  5. Step 5: Solve for x
    x = 2,089,394.46/1,261.56
  6. Step 6: Final answer
    x = 1,656.20

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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.