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Finding the Fourth Proportional to 574.56, 861.30 and 413.10

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Solution

The fourth proportional to 574.56, 861.30 and 413.10 is: 619.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.56 : 861.30 = 413.10 : x
  2. Step 2: Convert to fraction form
    574.56/861.30 = 413.10/x
  3. Step 3: Cross multiply
    574.56x = 861.30 × 413.10
  4. Step 4: Simplify right side
    574.56x = 355,803.03
  5. Step 5: Solve for x
    x = 355,803.03/574.56
  6. Step 6: Final answer
    x = 619.26

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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.