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Finding the Fourth Proportional to 610.38, 843.01 and 413.55

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Solution

The fourth proportional to 610.38, 843.01 and 413.55 is: 571.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.38 : 843.01 = 413.55 : x
  2. Step 2: Convert to fraction form
    610.38/843.01 = 413.55/x
  3. Step 3: Cross multiply
    610.38x = 843.01 × 413.55
  4. Step 4: Simplify right side
    610.38x = 348,625.75
  5. Step 5: Solve for x
    x = 348,625.75/610.38
  6. Step 6: Final answer
    x = 571.16

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1.5x scale

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.