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Finding the Fourth Proportional to 538.20, 805.68 and 439.56

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Solution

The fourth proportional to 538.20, 805.68 and 439.56 is: 658.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.20 : 805.68 = 439.56 : x
  2. Step 2: Convert to fraction form
    538.20/805.68 = 439.56/x
  3. Step 3: Cross multiply
    538.20x = 805.68 × 439.56
  4. Step 4: Simplify right side
    538.20x = 354,144.70
  5. Step 5: Solve for x
    x = 354,144.70/538.20
  6. Step 6: Final answer
    x = 658.02

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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.