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Finding the Fourth Proportional to 513.81, 766.53 and 422.22

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Solution

The fourth proportional to 513.81, 766.53 and 422.22 is: 629.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.81 : 766.53 = 422.22 : x
  2. Step 2: Convert to fraction form
    513.81/766.53 = 422.22/x
  3. Step 3: Cross multiply
    513.81x = 766.53 × 422.22
  4. Step 4: Simplify right side
    513.81x = 323,644.30
  5. Step 5: Solve for x
    x = 323,644.30/513.81
  6. Step 6: Final answer
    x = 629.89

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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.