Home / 1,238.58-1,707.82-927.54

Finding the Fourth Proportional to 1,238.58, 1,707.82 and 927.54

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Solution

The fourth proportional to 1,238.58, 1,707.82 and 927.54 is: 1,278.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.58 : 1,707.82 = 927.54 : x
  2. Step 2: Convert to fraction form
    1,238.58/1,707.82 = 927.54/x
  3. Step 3: Cross multiply
    1,238.58x = 1,707.82 × 927.54
  4. Step 4: Simplify right side
    1,238.58x = 1,584,071.36
  5. Step 5: Solve for x
    x = 1,584,071.36/1,238.58
  6. Step 6: Final answer
    x = 1,278.94

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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.