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Finding the Fourth Proportional to 804.90, 1,111 and 629.94

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Solution

The fourth proportional to 804.90, 1,111 and 629.94 is: 869.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.90 : 1,111 = 629.94 : x
  2. Step 2: Convert to fraction form
    804.90/1,111 = 629.94/x
  3. Step 3: Cross multiply
    804.90x = 1,111 × 629.94
  4. Step 4: Simplify right side
    804.90x = 699,863.34
  5. Step 5: Solve for x
    x = 699,863.34/804.90
  6. Step 6: Final answer
    x = 869.50

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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.