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Finding the Fourth Proportional to 689.89, 949.22 and 596.33

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Solution

The fourth proportional to 689.89, 949.22 and 596.33 is: 820.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.89 : 949.22 = 596.33 : x
  2. Step 2: Convert to fraction form
    689.89/949.22 = 596.33/x
  3. Step 3: Cross multiply
    689.89x = 949.22 × 596.33
  4. Step 4: Simplify right side
    689.89x = 566,048.36
  5. Step 5: Solve for x
    x = 566,048.36/689.89
  6. Step 6: Final answer
    x = 820.49

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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.