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Finding the Fourth Proportional to 804.68, 1,110.42 and 494.12

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Solution

The fourth proportional to 804.68, 1,110.42 and 494.12 is: 681.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.68 : 1,110.42 = 494.12 : x
  2. Step 2: Convert to fraction form
    804.68/1,110.42 = 494.12/x
  3. Step 3: Cross multiply
    804.68x = 1,110.42 × 494.12
  4. Step 4: Simplify right side
    804.68x = 548,680.73
  5. Step 5: Solve for x
    x = 548,680.73/804.68
  6. Step 6: Final answer
    x = 681.86

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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.