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Finding the Fourth Proportional to 441.59, 606.75 and 413.15

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Solution

The fourth proportional to 441.59, 606.75 and 413.15 is: 567.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.59 : 606.75 = 413.15 : x
  2. Step 2: Convert to fraction form
    441.59/606.75 = 413.15/x
  3. Step 3: Cross multiply
    441.59x = 606.75 × 413.15
  4. Step 4: Simplify right side
    441.59x = 250,674.18
  5. Step 5: Solve for x
    x = 250,674.18/441.59
  6. Step 6: Final answer
    x = 567.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.