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Finding the Fourth Proportional to 520.48, 779.62 and 325.54

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Solution

The fourth proportional to 520.48, 779.62 and 325.54 is: 487.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.48 : 779.62 = 325.54 : x
  2. Step 2: Convert to fraction form
    520.48/779.62 = 325.54/x
  3. Step 3: Cross multiply
    520.48x = 779.62 × 325.54
  4. Step 4: Simplify right side
    520.48x = 253,797.49
  5. Step 5: Solve for x
    x = 253,797.49/520.48
  6. Step 6: Final answer
    x = 487.62

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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.