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Finding the Fourth Proportional to 804.81, 1,108.05 and 701.27

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Solution

The fourth proportional to 804.81, 1,108.05 and 701.27 is: 965.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.81 : 1,108.05 = 701.27 : x
  2. Step 2: Convert to fraction form
    804.81/1,108.05 = 701.27/x
  3. Step 3: Cross multiply
    804.81x = 1,108.05 × 701.27
  4. Step 4: Simplify right side
    804.81x = 777,042.22
  5. Step 5: Solve for x
    x = 777,042.22/804.81
  6. Step 6: Final answer
    x = 965.50

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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.