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Finding the Fourth Proportional to 518.34, 775.68 and 323.19

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Solution

The fourth proportional to 518.34, 775.68 and 323.19 is: 483.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.34 : 775.68 = 323.19 : x
  2. Step 2: Convert to fraction form
    518.34/775.68 = 323.19/x
  3. Step 3: Cross multiply
    518.34x = 775.68 × 323.19
  4. Step 4: Simplify right side
    518.34x = 250,689.11
  5. Step 5: Solve for x
    x = 250,689.11/518.34
  6. Step 6: Final answer
    x = 483.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.