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Finding the Fourth Proportional to 678.57, 936.45 and 379.81

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Solution

The fourth proportional to 678.57, 936.45 and 379.81 is: 524.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.57 : 936.45 = 379.81 : x
  2. Step 2: Convert to fraction form
    678.57/936.45 = 379.81/x
  3. Step 3: Cross multiply
    678.57x = 936.45 × 379.81
  4. Step 4: Simplify right side
    678.57x = 355,674.25
  5. Step 5: Solve for x
    x = 355,674.25/678.57
  6. Step 6: Final answer
    x = 524.15

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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.