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Finding the Fourth Proportional to 520.12, 717.69 and 299.09

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Solution

The fourth proportional to 520.12, 717.69 and 299.09 is: 412.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.12 : 717.69 = 299.09 : x
  2. Step 2: Convert to fraction form
    520.12/717.69 = 299.09/x
  3. Step 3: Cross multiply
    520.12x = 717.69 × 299.09
  4. Step 4: Simplify right side
    520.12x = 214,656.82
  5. Step 5: Solve for x
    x = 214,656.82/520.12
  6. Step 6: Final answer
    x = 412.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.