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Finding the Fourth Proportional to 689.33, 950.42 and 589.57

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Solution

The fourth proportional to 689.33, 950.42 and 589.57 is: 812.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.33 : 950.42 = 589.57 : x
  2. Step 2: Convert to fraction form
    689.33/950.42 = 589.57/x
  3. Step 3: Cross multiply
    689.33x = 950.42 × 589.57
  4. Step 4: Simplify right side
    689.33x = 560,338.22
  5. Step 5: Solve for x
    x = 560,338.22/689.33
  6. Step 6: Final answer
    x = 812.87

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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.