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Finding the Fourth Proportional to 413.85, 572.09 and 331.77

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Solution

The fourth proportional to 413.85, 572.09 and 331.77 is: 458.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.85 : 572.09 = 331.77 : x
  2. Step 2: Convert to fraction form
    413.85/572.09 = 331.77/x
  3. Step 3: Cross multiply
    413.85x = 572.09 × 331.77
  4. Step 4: Simplify right side
    413.85x = 189,800.64
  5. Step 5: Solve for x
    x = 189,800.64/413.85
  6. Step 6: Final answer
    x = 458.62

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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.