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Finding the Fourth Proportional to 1,294.08, 1,786.32 and 828.24

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Solution

The fourth proportional to 1,294.08, 1,786.32 and 828.24 is: 1,143.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.08 : 1,786.32 = 828.24 : x
  2. Step 2: Convert to fraction form
    1,294.08/1,786.32 = 828.24/x
  3. Step 3: Cross multiply
    1,294.08x = 1,786.32 × 828.24
  4. Step 4: Simplify right side
    1,294.08x = 1,479,501.68
  5. Step 5: Solve for x
    x = 1,479,501.68/1,294.08
  6. Step 6: Final answer
    x = 1,143.28

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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.