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Finding the Fourth Proportional to 513.48, 771.13 and 422.83

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Solution

The fourth proportional to 513.48, 771.13 and 422.83 is: 634.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.48 : 771.13 = 422.83 : x
  2. Step 2: Convert to fraction form
    513.48/771.13 = 422.83/x
  3. Step 3: Cross multiply
    513.48x = 771.13 × 422.83
  4. Step 4: Simplify right side
    513.48x = 326,053.04
  5. Step 5: Solve for x
    x = 326,053.04/513.48
  6. Step 6: Final answer
    x = 634.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.