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Finding the Fourth Proportional to 651.81, 982.29 and 610.80

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Solution

The fourth proportional to 651.81, 982.29 and 610.80 is: 920.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.81 : 982.29 = 610.80 : x
  2. Step 2: Convert to fraction form
    651.81/982.29 = 610.80/x
  3. Step 3: Cross multiply
    651.81x = 982.29 × 610.80
  4. Step 4: Simplify right side
    651.81x = 599,982.73
  5. Step 5: Solve for x
    x = 599,982.73/651.81
  6. Step 6: Final answer
    x = 920.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.