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Finding the Fourth Proportional to 716.62, 982.50 and 703.66

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Solution

The fourth proportional to 716.62, 982.50 and 703.66 is: 964.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.62 : 982.50 = 703.66 : x
  2. Step 2: Convert to fraction form
    716.62/982.50 = 703.66/x
  3. Step 3: Cross multiply
    716.62x = 982.50 × 703.66
  4. Step 4: Simplify right side
    716.62x = 691,342.43
  5. Step 5: Solve for x
    x = 691,342.43/716.62
  6. Step 6: Final answer
    x = 964.73

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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.