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Finding the Fourth Proportional to 678.98, 936.97 and 384.23

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Solution

The fourth proportional to 678.98, 936.97 and 384.23 is: 530.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.98 : 936.97 = 384.23 : x
  2. Step 2: Convert to fraction form
    678.98/936.97 = 384.23/x
  3. Step 3: Cross multiply
    678.98x = 936.97 × 384.23
  4. Step 4: Simplify right side
    678.98x = 360,013.36
  5. Step 5: Solve for x
    x = 360,013.36/678.98
  6. Step 6: Final answer
    x = 530.22

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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.