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Finding the Fourth Proportional to 538.68, 809.22 and 392.88

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Solution

The fourth proportional to 538.68, 809.22 and 392.88 is: 590.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.68 : 809.22 = 392.88 : x
  2. Step 2: Convert to fraction form
    538.68/809.22 = 392.88/x
  3. Step 3: Cross multiply
    538.68x = 809.22 × 392.88
  4. Step 4: Simplify right side
    538.68x = 317,926.35
  5. Step 5: Solve for x
    x = 317,926.35/538.68
  6. Step 6: Final answer
    x = 590.20

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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.