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Finding the Fourth Proportional to 588.12, 809.75 and 499.42

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Solution

The fourth proportional to 588.12, 809.75 and 499.42 is: 687.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.12 : 809.75 = 499.42 : x
  2. Step 2: Convert to fraction form
    588.12/809.75 = 499.42/x
  3. Step 3: Cross multiply
    588.12x = 809.75 × 499.42
  4. Step 4: Simplify right side
    588.12x = 404,407.61
  5. Step 5: Solve for x
    x = 404,407.61/588.12
  6. Step 6: Final answer
    x = 687.63

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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.