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Finding the Fourth Proportional to 719.42, 991.24 and 680.54

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Solution

The fourth proportional to 719.42, 991.24 and 680.54 is: 937.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.42 : 991.24 = 680.54 : x
  2. Step 2: Convert to fraction form
    719.42/991.24 = 680.54/x
  3. Step 3: Cross multiply
    719.42x = 991.24 × 680.54
  4. Step 4: Simplify right side
    719.42x = 674,571.81
  5. Step 5: Solve for x
    x = 674,571.81/719.42
  6. Step 6: Final answer
    x = 937.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.