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Finding the Fourth Proportional to 1,301.81, 1,808.94 and 1,288.49

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Solution

The fourth proportional to 1,301.81, 1,808.94 and 1,288.49 is: 1,790.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.81 : 1,808.94 = 1,288.49 : x
  2. Step 2: Convert to fraction form
    1,301.81/1,808.94 = 1,288.49/x
  3. Step 3: Cross multiply
    1,301.81x = 1,808.94 × 1,288.49
  4. Step 4: Simplify right side
    1,301.81x = 2,330,796.89
  5. Step 5: Solve for x
    x = 2,330,796.89/1,301.81
  6. Step 6: Final answer
    x = 1,790.43

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.