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Finding the Fourth Proportional to 716.45, 980.24 and 713.75

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Solution

The fourth proportional to 716.45, 980.24 and 713.75 is: 976.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.45 : 980.24 = 713.75 : x
  2. Step 2: Convert to fraction form
    716.45/980.24 = 713.75/x
  3. Step 3: Cross multiply
    716.45x = 980.24 × 713.75
  4. Step 4: Simplify right side
    716.45x = 699,637.83
  5. Step 5: Solve for x
    x = 699,637.83/716.45
  6. Step 6: Final answer
    x = 976.54

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1.5x scale

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.