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Finding the Fourth Proportional to 428.56, 594.15 and 413.55

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Solution

The fourth proportional to 428.56, 594.15 and 413.55 is: 573.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.56 : 594.15 = 413.55 : x
  2. Step 2: Convert to fraction form
    428.56/594.15 = 413.55/x
  3. Step 3: Cross multiply
    428.56x = 594.15 × 413.55
  4. Step 4: Simplify right side
    428.56x = 245,705.69
  5. Step 5: Solve for x
    x = 245,705.69/428.56
  6. Step 6: Final answer
    x = 573.33

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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.