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Finding the Fourth Proportional to 1,203.05, 1,662.27 and 956.54

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Solution

The fourth proportional to 1,203.05, 1,662.27 and 956.54 is: 1,321.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.05 : 1,662.27 = 956.54 : x
  2. Step 2: Convert to fraction form
    1,203.05/1,662.27 = 956.54/x
  3. Step 3: Cross multiply
    1,203.05x = 1,662.27 × 956.54
  4. Step 4: Simplify right side
    1,203.05x = 1,590,027.75
  5. Step 5: Solve for x
    x = 1,590,027.75/1,203.05
  6. Step 6: Final answer
    x = 1,321.66

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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.