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Finding the Fourth Proportional to 1,293.79, 1,786.05 and 828.31

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Solution

The fourth proportional to 1,293.79, 1,786.05 and 828.31 is: 1,143.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.79 : 1,786.05 = 828.31 : x
  2. Step 2: Convert to fraction form
    1,293.79/1,786.05 = 828.31/x
  3. Step 3: Cross multiply
    1,293.79x = 1,786.05 × 828.31
  4. Step 4: Simplify right side
    1,293.79x = 1,479,403.08
  5. Step 5: Solve for x
    x = 1,479,403.08/1,293.79
  6. Step 6: Final answer
    x = 1,143.46

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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.