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Finding the Fourth Proportional to 689.09, 950.97 and 394.40

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Solution

The fourth proportional to 689.09, 950.97 and 394.40 is: 544.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.09 : 950.97 = 394.40 : x
  2. Step 2: Convert to fraction form
    689.09/950.97 = 394.40/x
  3. Step 3: Cross multiply
    689.09x = 950.97 × 394.40
  4. Step 4: Simplify right side
    689.09x = 375,066.42
  5. Step 5: Solve for x
    x = 375,066.42/689.09
  6. Step 6: Final answer
    x = 544.30

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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.