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Finding the Fourth Proportional to 664.28, 991.01 and 610.70

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Solution

The fourth proportional to 664.28, 991.01 and 610.70 is: 911.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.28 : 991.01 = 610.70 : x
  2. Step 2: Convert to fraction form
    664.28/991.01 = 610.70/x
  3. Step 3: Cross multiply
    664.28x = 991.01 × 610.70
  4. Step 4: Simplify right side
    664.28x = 605,209.81
  5. Step 5: Solve for x
    x = 605,209.81/664.28
  6. Step 6: Final answer
    x = 911.08

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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.