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Finding the Fourth Proportional to 803.22, 1,107.86 and 628.26

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Solution

The fourth proportional to 803.22, 1,107.86 and 628.26 is: 866.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.22 : 1,107.86 = 628.26 : x
  2. Step 2: Convert to fraction form
    803.22/1,107.86 = 628.26/x
  3. Step 3: Cross multiply
    803.22x = 1,107.86 × 628.26
  4. Step 4: Simplify right side
    803.22x = 696,020.98
  5. Step 5: Solve for x
    x = 696,020.98/803.22
  6. Step 6: Final answer
    x = 866.54

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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.