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Finding the Fourth Proportional to 520.20, 717.36 and 333.66

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Solution

The fourth proportional to 520.20, 717.36 and 333.66 is: 460.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.20 : 717.36 = 333.66 : x
  2. Step 2: Convert to fraction form
    520.20/717.36 = 333.66/x
  3. Step 3: Cross multiply
    520.20x = 717.36 × 333.66
  4. Step 4: Simplify right side
    520.20x = 239,354.34
  5. Step 5: Solve for x
    x = 239,354.34/520.20
  6. Step 6: Final answer
    x = 460.12

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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.