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Finding the Fourth Proportional to 428.06, 593.45 and 413.05

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Solution

The fourth proportional to 428.06, 593.45 and 413.05 is: 572.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.06 : 593.45 = 413.05 : x
  2. Step 2: Convert to fraction form
    428.06/593.45 = 413.05/x
  3. Step 3: Cross multiply
    428.06x = 593.45 × 413.05
  4. Step 4: Simplify right side
    428.06x = 245,121.56
  5. Step 5: Solve for x
    x = 245,121.56/428.06
  6. Step 6: Final answer
    x = 572.63

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.