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Finding the Fourth Proportional to 609.53, 840.78 and 413.10

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Solution

The fourth proportional to 609.53, 840.78 and 413.10 is: 569.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.53 : 840.78 = 413.10 : x
  2. Step 2: Convert to fraction form
    609.53/840.78 = 413.10/x
  3. Step 3: Cross multiply
    609.53x = 840.78 × 413.10
  4. Step 4: Simplify right side
    609.53x = 347,326.22
  5. Step 5: Solve for x
    x = 347,326.22/609.53
  6. Step 6: Final answer
    x = 569.83

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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.