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Finding the Fourth Proportional to 678.82, 934.76 and 629.82

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Solution

The fourth proportional to 678.82, 934.76 and 629.82 is: 867.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.82 : 934.76 = 629.82 : x
  2. Step 2: Convert to fraction form
    678.82/934.76 = 629.82/x
  3. Step 3: Cross multiply
    678.82x = 934.76 × 629.82
  4. Step 4: Simplify right side
    678.82x = 588,730.54
  5. Step 5: Solve for x
    x = 588,730.54/678.82
  6. Step 6: Final answer
    x = 867.29

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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.