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Finding the Fourth Proportional to 1,236.56, 1,708.40 and 971.92

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Solution

The fourth proportional to 1,236.56, 1,708.40 and 971.92 is: 1,342.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.56 : 1,708.40 = 971.92 : x
  2. Step 2: Convert to fraction form
    1,236.56/1,708.40 = 971.92/x
  3. Step 3: Cross multiply
    1,236.56x = 1,708.40 × 971.92
  4. Step 4: Simplify right side
    1,236.56x = 1,660,428.13
  5. Step 5: Solve for x
    x = 1,660,428.13/1,236.56
  6. Step 6: Final answer
    x = 1,342.78

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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.