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Finding the Fourth Proportional to 520.56, 779.31 and 486.36

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Solution

The fourth proportional to 520.56, 779.31 and 486.36 is: 728.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.56 : 779.31 = 486.36 : x
  2. Step 2: Convert to fraction form
    520.56/779.31 = 486.36/x
  3. Step 3: Cross multiply
    520.56x = 779.31 × 486.36
  4. Step 4: Simplify right side
    520.56x = 379,025.21
  5. Step 5: Solve for x
    x = 379,025.21/520.56
  6. Step 6: Final answer
    x = 728.11

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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.