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Finding the Fourth Proportional to 559.73, 771.93 and 382.61

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Solution

The fourth proportional to 559.73, 771.93 and 382.61 is: 527.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.73 : 771.93 = 382.61 : x
  2. Step 2: Convert to fraction form
    559.73/771.93 = 382.61/x
  3. Step 3: Cross multiply
    559.73x = 771.93 × 382.61
  4. Step 4: Simplify right side
    559.73x = 295,348.14
  5. Step 5: Solve for x
    x = 295,348.14/559.73
  6. Step 6: Final answer
    x = 527.66

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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.