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Finding the Fourth Proportional to 804.22, 1,109.57 and 552.15

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Solution

The fourth proportional to 804.22, 1,109.57 and 552.15 is: 761.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.22 : 1,109.57 = 552.15 : x
  2. Step 2: Convert to fraction form
    804.22/1,109.57 = 552.15/x
  3. Step 3: Cross multiply
    804.22x = 1,109.57 × 552.15
  4. Step 4: Simplify right side
    804.22x = 612,646.31
  5. Step 5: Solve for x
    x = 612,646.31/804.22
  6. Step 6: Final answer
    x = 761.79

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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.