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Finding the Fourth Proportional to 1,092, 1,502.64 and 828.96

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Solution

The fourth proportional to 1,092, 1,502.64 and 828.96 is: 1,140.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092 : 1,502.64 = 828.96 : x
  2. Step 2: Convert to fraction form
    1,092/1,502.64 = 828.96/x
  3. Step 3: Cross multiply
    1,092x = 1,502.64 × 828.96
  4. Step 4: Simplify right side
    1,092x = 1,245,628.45
  5. Step 5: Solve for x
    x = 1,245,628.45/1,092
  6. Step 6: Final answer
    x = 1,140.69

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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.