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Finding the Fourth Proportional to 520.98, 719 and 324.46

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Solution

The fourth proportional to 520.98, 719 and 324.46 is: 447.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.98 : 719 = 324.46 : x
  2. Step 2: Convert to fraction form
    520.98/719 = 324.46/x
  3. Step 3: Cross multiply
    520.98x = 719 × 324.46
  4. Step 4: Simplify right side
    520.98x = 233,286.74
  5. Step 5: Solve for x
    x = 233,286.74/520.98
  6. Step 6: Final answer
    x = 447.78

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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.