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Finding the Fourth Proportional to 689.94, 952.17 and 379.46

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Solution

The fourth proportional to 689.94, 952.17 and 379.46 is: 523.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.94 : 952.17 = 379.46 : x
  2. Step 2: Convert to fraction form
    689.94/952.17 = 379.46/x
  3. Step 3: Cross multiply
    689.94x = 952.17 × 379.46
  4. Step 4: Simplify right side
    689.94x = 361,310.43
  5. Step 5: Solve for x
    x = 361,310.43/689.94
  6. Step 6: Final answer
    x = 523.68

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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.