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Finding the Fourth Proportional to 698.29, 965.73 and 610.81

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Solution

The fourth proportional to 698.29, 965.73 and 610.81 is: 844.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.29 : 965.73 = 610.81 : x
  2. Step 2: Convert to fraction form
    698.29/965.73 = 610.81/x
  3. Step 3: Cross multiply
    698.29x = 965.73 × 610.81
  4. Step 4: Simplify right side
    698.29x = 589,877.54
  5. Step 5: Solve for x
    x = 589,877.54/698.29
  6. Step 6: Final answer
    x = 844.75

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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.