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Finding the Fourth Proportional to 520.09, 717.46 and 333.59

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Solution

The fourth proportional to 520.09, 717.46 and 333.59 is: 460.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.09 : 717.46 = 333.59 : x
  2. Step 2: Convert to fraction form
    520.09/717.46 = 333.59/x
  3. Step 3: Cross multiply
    520.09x = 717.46 × 333.59
  4. Step 4: Simplify right side
    520.09x = 239,333.06
  5. Step 5: Solve for x
    x = 239,333.06/520.09
  6. Step 6: Final answer
    x = 460.18

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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.