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Finding the Fourth Proportional to 413.79, 616.41 and 406.91

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Solution

The fourth proportional to 413.79, 616.41 and 406.91 is: 606.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.79 : 616.41 = 406.91 : x
  2. Step 2: Convert to fraction form
    413.79/616.41 = 406.91/x
  3. Step 3: Cross multiply
    413.79x = 616.41 × 406.91
  4. Step 4: Simplify right side
    413.79x = 250,820.31
  5. Step 5: Solve for x
    x = 250,820.31/413.79
  6. Step 6: Final answer
    x = 606.15

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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.