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Finding the Fourth Proportional to 792.28, 1,092.06 and 634.64

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Solution

The fourth proportional to 792.28, 1,092.06 and 634.64 is: 874.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.28 : 1,092.06 = 634.64 : x
  2. Step 2: Convert to fraction form
    792.28/1,092.06 = 634.64/x
  3. Step 3: Cross multiply
    792.28x = 1,092.06 × 634.64
  4. Step 4: Simplify right side
    792.28x = 693,064.96
  5. Step 5: Solve for x
    x = 693,064.96/792.28
  6. Step 6: Final answer
    x = 874.77

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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.