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Finding the Fourth Proportional to 517.42, 772.41 and 443.50

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Solution

The fourth proportional to 517.42, 772.41 and 443.50 is: 662.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.42 : 772.41 = 443.50 : x
  2. Step 2: Convert to fraction form
    517.42/772.41 = 443.50/x
  3. Step 3: Cross multiply
    517.42x = 772.41 × 443.50
  4. Step 4: Simplify right side
    517.42x = 342,563.84
  5. Step 5: Solve for x
    x = 342,563.84/517.42
  6. Step 6: Final answer
    x = 662.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.