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Finding the Fourth Proportional to 599.73, 825.78 and 511.05

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Solution

The fourth proportional to 599.73, 825.78 and 511.05 is: 703.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.73 : 825.78 = 511.05 : x
  2. Step 2: Convert to fraction form
    599.73/825.78 = 511.05/x
  3. Step 3: Cross multiply
    599.73x = 825.78 × 511.05
  4. Step 4: Simplify right side
    599.73x = 422,014.87
  5. Step 5: Solve for x
    x = 422,014.87/599.73
  6. Step 6: Final answer
    x = 703.67

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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.