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Finding the Fourth Proportional to 872.05, 1,308.50 and 433.33

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Solution

The fourth proportional to 872.05, 1,308.50 and 433.33 is: 650.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.05 : 1,308.50 = 433.33 : x
  2. Step 2: Convert to fraction form
    872.05/1,308.50 = 433.33/x
  3. Step 3: Cross multiply
    872.05x = 1,308.50 × 433.33
  4. Step 4: Simplify right side
    872.05x = 567,012.31
  5. Step 5: Solve for x
    x = 567,012.31/872.05
  6. Step 6: Final answer
    x = 650.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.