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Finding the Fourth Proportional to 413.79, 616.08 and 408.06

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Solution

The fourth proportional to 413.79, 616.08 and 408.06 is: 607.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.79 : 616.08 = 408.06 : x
  2. Step 2: Convert to fraction form
    413.79/616.08 = 408.06/x
  3. Step 3: Cross multiply
    413.79x = 616.08 × 408.06
  4. Step 4: Simplify right side
    413.79x = 251,397.60
  5. Step 5: Solve for x
    x = 251,397.60/413.79
  6. Step 6: Final answer
    x = 607.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.