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Finding the Fourth Proportional to 689.12, 950.96 and 394.38

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Solution

The fourth proportional to 689.12, 950.96 and 394.38 is: 544.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.12 : 950.96 = 394.38 : x
  2. Step 2: Convert to fraction form
    689.12/950.96 = 394.38/x
  3. Step 3: Cross multiply
    689.12x = 950.96 × 394.38
  4. Step 4: Simplify right side
    689.12x = 375,039.60
  5. Step 5: Solve for x
    x = 375,039.60/689.12
  6. Step 6: Final answer
    x = 544.23

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1.5x scale

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.