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Finding the Fourth Proportional to 521.16, 779.31 and 513.87

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Solution

The fourth proportional to 521.16, 779.31 and 513.87 is: 768.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.16 : 779.31 = 513.87 : x
  2. Step 2: Convert to fraction form
    521.16/779.31 = 513.87/x
  3. Step 3: Cross multiply
    521.16x = 779.31 × 513.87
  4. Step 4: Simplify right side
    521.16x = 400,464.03
  5. Step 5: Solve for x
    x = 400,464.03/521.16
  6. Step 6: Final answer
    x = 768.41

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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.