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Finding the Fourth Proportional to 678.98, 936.90 and 380.23

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Solution

The fourth proportional to 678.98, 936.90 and 380.23 is: 524.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.98 : 936.90 = 380.23 : x
  2. Step 2: Convert to fraction form
    678.98/936.90 = 380.23/x
  3. Step 3: Cross multiply
    678.98x = 936.90 × 380.23
  4. Step 4: Simplify right side
    678.98x = 356,235.14
  5. Step 5: Solve for x
    x = 356,235.14/678.98
  6. Step 6: Final answer
    x = 524.66

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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.