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Finding the Fourth Proportional to 567.39, 850.96 and 413.40

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Solution

The fourth proportional to 567.39, 850.96 and 413.40 is: 620.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.39 : 850.96 = 413.40 : x
  2. Step 2: Convert to fraction form
    567.39/850.96 = 413.40/x
  3. Step 3: Cross multiply
    567.39x = 850.96 × 413.40
  4. Step 4: Simplify right side
    567.39x = 351,786.86
  5. Step 5: Solve for x
    x = 351,786.86/567.39
  6. Step 6: Final answer
    x = 620.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.