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Finding the Fourth Proportional to 664.20, 991.89 and 573.12

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Solution

The fourth proportional to 664.20, 991.89 and 573.12 is: 855.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.20 : 991.89 = 573.12 : x
  2. Step 2: Convert to fraction form
    664.20/991.89 = 573.12/x
  3. Step 3: Cross multiply
    664.20x = 991.89 × 573.12
  4. Step 4: Simplify right side
    664.20x = 568,472.00
  5. Step 5: Solve for x
    x = 568,472.00/664.20
  6. Step 6: Final answer
    x = 855.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.