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Finding the Fourth Proportional to 712.28, 977.68 and 682.22

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Solution

The fourth proportional to 712.28, 977.68 and 682.22 is: 936.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.28 : 977.68 = 682.22 : x
  2. Step 2: Convert to fraction form
    712.28/977.68 = 682.22/x
  3. Step 3: Cross multiply
    712.28x = 977.68 × 682.22
  4. Step 4: Simplify right side
    712.28x = 666,992.85
  5. Step 5: Solve for x
    x = 666,992.85/712.28
  6. Step 6: Final answer
    x = 936.42

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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.