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Finding the Fourth Proportional to 520.39, 717.89 and 333.78

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Solution

The fourth proportional to 520.39, 717.89 and 333.78 is: 460.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.39 : 717.89 = 333.78 : x
  2. Step 2: Convert to fraction form
    520.39/717.89 = 333.78/x
  3. Step 3: Cross multiply
    520.39x = 717.89 × 333.78
  4. Step 4: Simplify right side
    520.39x = 239,617.32
  5. Step 5: Solve for x
    x = 239,617.32/520.39
  6. Step 6: Final answer
    x = 460.46

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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.