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Finding the Fourth Proportional to 520.13, 717.60 and 323.63

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Solution

The fourth proportional to 520.13, 717.60 and 323.63 is: 446.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.13 : 717.60 = 323.63 : x
  2. Step 2: Convert to fraction form
    520.13/717.60 = 323.63/x
  3. Step 3: Cross multiply
    520.13x = 717.60 × 323.63
  4. Step 4: Simplify right side
    520.13x = 232,234.28
  5. Step 5: Solve for x
    x = 232,234.28/520.13
  6. Step 6: Final answer
    x = 446.50

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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.