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Finding the Fourth Proportional to 559.41, 772.61 and 382.06

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Solution

The fourth proportional to 559.41, 772.61 and 382.06 is: 527.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.41 : 772.61 = 382.06 : x
  2. Step 2: Convert to fraction form
    559.41/772.61 = 382.06/x
  3. Step 3: Cross multiply
    559.41x = 772.61 × 382.06
  4. Step 4: Simplify right side
    559.41x = 295,183.38
  5. Step 5: Solve for x
    x = 295,183.38/559.41
  6. Step 6: Final answer
    x = 527.67

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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.