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Finding the Fourth Proportional to 689.44, 951.42 and 378.94

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Solution

The fourth proportional to 689.44, 951.42 and 378.94 is: 522.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.44 : 951.42 = 378.94 : x
  2. Step 2: Convert to fraction form
    689.44/951.42 = 378.94/x
  3. Step 3: Cross multiply
    689.44x = 951.42 × 378.94
  4. Step 4: Simplify right side
    689.44x = 360,530.14
  5. Step 5: Solve for x
    x = 360,530.14/689.44
  6. Step 6: Final answer
    x = 522.93

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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.