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Finding the Fourth Proportional to 678.83, 936.83 and 380.11

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Solution

The fourth proportional to 678.83, 936.83 and 380.11 is: 524.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.83 : 936.83 = 380.11 : x
  2. Step 2: Convert to fraction form
    678.83/936.83 = 380.11/x
  3. Step 3: Cross multiply
    678.83x = 936.83 × 380.11
  4. Step 4: Simplify right side
    678.83x = 356,094.24
  5. Step 5: Solve for x
    x = 356,094.24/678.83
  6. Step 6: Final answer
    x = 524.57

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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.