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Finding the Fourth Proportional to 520.45, 718.37 and 323.85

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Solution

The fourth proportional to 520.45, 718.37 and 323.85 is: 447.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.45 : 718.37 = 323.85 : x
  2. Step 2: Convert to fraction form
    520.45/718.37 = 323.85/x
  3. Step 3: Cross multiply
    520.45x = 718.37 × 323.85
  4. Step 4: Simplify right side
    520.45x = 232,644.12
  5. Step 5: Solve for x
    x = 232,644.12/520.45
  6. Step 6: Final answer
    x = 447.01

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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.