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Finding the Fourth Proportional to 520.13, 717.79 and 287.26

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Solution

The fourth proportional to 520.13, 717.79 and 287.26 is: 396.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.13 : 717.79 = 287.26 : x
  2. Step 2: Convert to fraction form
    520.13/717.79 = 287.26/x
  3. Step 3: Cross multiply
    520.13x = 717.79 × 287.26
  4. Step 4: Simplify right side
    520.13x = 206,187.33
  5. Step 5: Solve for x
    x = 206,187.33/520.13
  6. Step 6: Final answer
    x = 396.41

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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.