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Finding the Fourth Proportional to 678.62, 936.49 and 413.14

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Solution

The fourth proportional to 678.62, 936.49 and 413.14 is: 570.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.62 : 936.49 = 413.14 : x
  2. Step 2: Convert to fraction form
    678.62/936.49 = 413.14/x
  3. Step 3: Cross multiply
    678.62x = 936.49 × 413.14
  4. Step 4: Simplify right side
    678.62x = 386,901.48
  5. Step 5: Solve for x
    x = 386,901.48/678.62
  6. Step 6: Final answer
    x = 570.13

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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.