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Finding the Fourth Proportional to 678.84, 936.95 and 442.38

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Solution

The fourth proportional to 678.84, 936.95 and 442.38 is: 610.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.84 : 936.95 = 442.38 : x
  2. Step 2: Convert to fraction form
    678.84/936.95 = 442.38/x
  3. Step 3: Cross multiply
    678.84x = 936.95 × 442.38
  4. Step 4: Simplify right side
    678.84x = 414,487.94
  5. Step 5: Solve for x
    x = 414,487.94/678.84
  6. Step 6: Final answer
    x = 610.58

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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.