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Finding the Fourth Proportional to 678.78, 936.66 and 380.02

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Solution

The fourth proportional to 678.78, 936.66 and 380.02 is: 524.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.78 : 936.66 = 380.02 : x
  2. Step 2: Convert to fraction form
    678.78/936.66 = 380.02/x
  3. Step 3: Cross multiply
    678.78x = 936.66 × 380.02
  4. Step 4: Simplify right side
    678.78x = 355,949.53
  5. Step 5: Solve for x
    x = 355,949.53/678.78
  6. Step 6: Final answer
    x = 524.40

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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.