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Finding the Fourth Proportional to 678.82, 936.74 and 384.09

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Solution

The fourth proportional to 678.82, 936.74 and 384.09 is: 530.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.82 : 936.74 = 384.09 : x
  2. Step 2: Convert to fraction form
    678.82/936.74 = 384.09/x
  3. Step 3: Cross multiply
    678.82x = 936.74 × 384.09
  4. Step 4: Simplify right side
    678.82x = 359,792.89
  5. Step 5: Solve for x
    x = 359,792.89/678.82
  6. Step 6: Final answer
    x = 530.02

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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.