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Finding the Fourth Proportional to 678.27, 936.08 and 412.70

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Solution

The fourth proportional to 678.27, 936.08 and 412.70 is: 569.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.27 : 936.08 = 412.70 : x
  2. Step 2: Convert to fraction form
    678.27/936.08 = 412.70/x
  3. Step 3: Cross multiply
    678.27x = 936.08 × 412.70
  4. Step 4: Simplify right side
    678.27x = 386,316.18
  5. Step 5: Solve for x
    x = 386,316.18/678.27
  6. Step 6: Final answer
    x = 569.56

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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.