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Finding the Fourth Proportional to 491.91, 679.49 and 422.84

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Solution

The fourth proportional to 491.91, 679.49 and 422.84 is: 584.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.91 : 679.49 = 422.84 : x
  2. Step 2: Convert to fraction form
    491.91/679.49 = 422.84/x
  3. Step 3: Cross multiply
    491.91x = 679.49 × 422.84
  4. Step 4: Simplify right side
    491.91x = 287,310.04
  5. Step 5: Solve for x
    x = 287,310.04/491.91
  6. Step 6: Final answer
    x = 584.07

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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.