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Finding the Fourth Proportional to 804.70, 1,109.42 and 722.69

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Solution

The fourth proportional to 804.70, 1,109.42 and 722.69 is: 996.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.70 : 1,109.42 = 722.69 : x
  2. Step 2: Convert to fraction form
    804.70/1,109.42 = 722.69/x
  3. Step 3: Cross multiply
    804.70x = 1,109.42 × 722.69
  4. Step 4: Simplify right side
    804.70x = 801,764.45
  5. Step 5: Solve for x
    x = 801,764.45/804.70
  6. Step 6: Final answer
    x = 996.35

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1.5x scale

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.