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Finding the Fourth Proportional to 689.08, 950.76 and 394.30

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Solution

The fourth proportional to 689.08, 950.76 and 394.30 is: 544.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.08 : 950.76 = 394.30 : x
  2. Step 2: Convert to fraction form
    689.08/950.76 = 394.30/x
  3. Step 3: Cross multiply
    689.08x = 950.76 × 394.30
  4. Step 4: Simplify right side
    689.08x = 374,884.67
  5. Step 5: Solve for x
    x = 374,884.67/689.08
  6. Step 6: Final answer
    x = 544.04

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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.