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Finding the Fourth Proportional to 588.14, 809.79 and 499.44

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Solution

The fourth proportional to 588.14, 809.79 and 499.44 is: 687.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.14 : 809.79 = 499.44 : x
  2. Step 2: Convert to fraction form
    588.14/809.79 = 499.44/x
  3. Step 3: Cross multiply
    588.14x = 809.79 × 499.44
  4. Step 4: Simplify right side
    588.14x = 404,441.52
  5. Step 5: Solve for x
    x = 404,441.52/588.14
  6. Step 6: Final answer
    x = 687.66

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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.