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Finding the Fourth Proportional to 688.89, 950.67 and 394.17

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Solution

The fourth proportional to 688.89, 950.67 and 394.17 is: 543.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.89 : 950.67 = 394.17 : x
  2. Step 2: Convert to fraction form
    688.89/950.67 = 394.17/x
  3. Step 3: Cross multiply
    688.89x = 950.67 × 394.17
  4. Step 4: Simplify right side
    688.89x = 374,725.59
  5. Step 5: Solve for x
    x = 374,725.59/688.89
  6. Step 6: Final answer
    x = 543.96

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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.