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Finding the Fourth Proportional to 678.82, 937.02 and 413.26

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Solution

The fourth proportional to 678.82, 937.02 and 413.26 is: 570.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.82 : 937.02 = 413.26 : x
  2. Step 2: Convert to fraction form
    678.82/937.02 = 413.26/x
  3. Step 3: Cross multiply
    678.82x = 937.02 × 413.26
  4. Step 4: Simplify right side
    678.82x = 387,232.89
  5. Step 5: Solve for x
    x = 387,232.89/678.82
  6. Step 6: Final answer
    x = 570.45

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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.