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Finding the Fourth Proportional to 439.61, 655.12 and 413.65

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Solution

The fourth proportional to 439.61, 655.12 and 413.65 is: 616.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.61 : 655.12 = 413.65 : x
  2. Step 2: Convert to fraction form
    439.61/655.12 = 413.65/x
  3. Step 3: Cross multiply
    439.61x = 655.12 × 413.65
  4. Step 4: Simplify right side
    439.61x = 270,985.04
  5. Step 5: Solve for x
    x = 270,985.04/439.61
  6. Step 6: Final answer
    x = 616.42

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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.