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Finding the Fourth Proportional to 716.50, 982.32 and 703.54

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Solution

The fourth proportional to 716.50, 982.32 and 703.54 is: 964.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.50 : 982.32 = 703.54 : x
  2. Step 2: Convert to fraction form
    716.50/982.32 = 703.54/x
  3. Step 3: Cross multiply
    716.50x = 982.32 × 703.54
  4. Step 4: Simplify right side
    716.50x = 691,099.14
  5. Step 5: Solve for x
    x = 691,099.14/716.50
  6. Step 6: Final answer
    x = 964.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.