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Finding the Fourth Proportional to 792.02, 1,093.88 and 617.09

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Solution

The fourth proportional to 792.02, 1,093.88 and 617.09 is: 852.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.02 : 1,093.88 = 617.09 : x
  2. Step 2: Convert to fraction form
    792.02/1,093.88 = 617.09/x
  3. Step 3: Cross multiply
    792.02x = 1,093.88 × 617.09
  4. Step 4: Simplify right side
    792.02x = 675,018.48
  5. Step 5: Solve for x
    x = 675,018.48/792.02
  6. Step 6: Final answer
    x = 852.27

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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.