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Finding the Fourth Proportional to 689.82, 951.93 and 379.32

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Solution

The fourth proportional to 689.82, 951.93 and 379.32 is: 523.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.82 : 951.93 = 379.32 : x
  2. Step 2: Convert to fraction form
    689.82/951.93 = 379.32/x
  3. Step 3: Cross multiply
    689.82x = 951.93 × 379.32
  4. Step 4: Simplify right side
    689.82x = 361,086.09
  5. Step 5: Solve for x
    x = 361,086.09/689.82
  6. Step 6: Final answer
    x = 523.45

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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.