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Finding the Fourth Proportional to 520.11, 779.81 and 289.16

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Solution

The fourth proportional to 520.11, 779.81 and 289.16 is: 433.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.11 : 779.81 = 289.16 : x
  2. Step 2: Convert to fraction form
    520.11/779.81 = 289.16/x
  3. Step 3: Cross multiply
    520.11x = 779.81 × 289.16
  4. Step 4: Simplify right side
    520.11x = 225,489.86
  5. Step 5: Solve for x
    x = 225,489.86/520.11
  6. Step 6: Final answer
    x = 433.54

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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.