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Finding the Fourth Proportional to 679.61, 937.71 and 413.84

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Solution

The fourth proportional to 679.61, 937.71 and 413.84 is: 571.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.61 : 937.71 = 413.84 : x
  2. Step 2: Convert to fraction form
    679.61/937.71 = 413.84/x
  3. Step 3: Cross multiply
    679.61x = 937.71 × 413.84
  4. Step 4: Simplify right side
    679.61x = 388,064.25
  5. Step 5: Solve for x
    x = 388,064.25/679.61
  6. Step 6: Final answer
    x = 571.01

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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.