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Finding the Fourth Proportional to 1,201.70, 1,808.92 and 857.42

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Solution

The fourth proportional to 1,201.70, 1,808.92 and 857.42 is: 1,290.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.70 : 1,808.92 = 857.42 : x
  2. Step 2: Convert to fraction form
    1,201.70/1,808.92 = 857.42/x
  3. Step 3: Cross multiply
    1,201.70x = 1,808.92 × 857.42
  4. Step 4: Simplify right side
    1,201.70x = 1,550,995.14
  5. Step 5: Solve for x
    x = 1,550,995.14/1,201.70
  6. Step 6: Final answer
    x = 1,290.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.