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Finding the Fourth Proportional to 609.83, 842.25 and 413.00

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Solution

The fourth proportional to 609.83, 842.25 and 413.00 is: 570.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.83 : 842.25 = 413.00 : x
  2. Step 2: Convert to fraction form
    609.83/842.25 = 413.00/x
  3. Step 3: Cross multiply
    609.83x = 842.25 × 413.00
  4. Step 4: Simplify right side
    609.83x = 347,847.42
  5. Step 5: Solve for x
    x = 347,847.42/609.83
  6. Step 6: Final answer
    x = 570.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.