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Finding the Fourth Proportional to 804.44, 1,109.28 and 617.96

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Solution

The fourth proportional to 804.44, 1,109.28 and 617.96 is: 852.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.44 : 1,109.28 = 617.96 : x
  2. Step 2: Convert to fraction form
    804.44/1,109.28 = 617.96/x
  3. Step 3: Cross multiply
    804.44x = 1,109.28 × 617.96
  4. Step 4: Simplify right side
    804.44x = 685,490.67
  5. Step 5: Solve for x
    x = 685,490.67/804.44
  6. Step 6: Final answer
    x = 852.13

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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.