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Finding the Fourth Proportional to 1,295.88, 1,789.74 and 982.68

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Solution

The fourth proportional to 1,295.88, 1,789.74 and 982.68 is: 1,357.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.88 : 1,789.74 = 982.68 : x
  2. Step 2: Convert to fraction form
    1,295.88/1,789.74 = 982.68/x
  3. Step 3: Cross multiply
    1,295.88x = 1,789.74 × 982.68
  4. Step 4: Simplify right side
    1,295.88x = 1,758,741.70
  5. Step 5: Solve for x
    x = 1,758,741.70/1,295.88
  6. Step 6: Final answer
    x = 1,357.18

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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.