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Finding the Fourth Proportional to 722.28, 995.94 and 590.88

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Solution

The fourth proportional to 722.28, 995.94 and 590.88 is: 814.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.28 : 995.94 = 590.88 : x
  2. Step 2: Convert to fraction form
    722.28/995.94 = 590.88/x
  3. Step 3: Cross multiply
    722.28x = 995.94 × 590.88
  4. Step 4: Simplify right side
    722.28x = 588,481.03
  5. Step 5: Solve for x
    x = 588,481.03/722.28
  6. Step 6: Final answer
    x = 814.75

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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.