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Finding the Fourth Proportional to 664.36, 991.59 and 571.41

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Solution

The fourth proportional to 664.36, 991.59 and 571.41 is: 852.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.36 : 991.59 = 571.41 : x
  2. Step 2: Convert to fraction form
    664.36/991.59 = 571.41/x
  3. Step 3: Cross multiply
    664.36x = 991.59 × 571.41
  4. Step 4: Simplify right side
    664.36x = 566,602.30
  5. Step 5: Solve for x
    x = 566,602.30/664.36
  6. Step 6: Final answer
    x = 852.86

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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.