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Finding the Fourth Proportional to 719.89, 993.72 and 440.14

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Solution

The fourth proportional to 719.89, 993.72 and 440.14 is: 607.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.89 : 993.72 = 440.14 : x
  2. Step 2: Convert to fraction form
    719.89/993.72 = 440.14/x
  3. Step 3: Cross multiply
    719.89x = 993.72 × 440.14
  4. Step 4: Simplify right side
    719.89x = 437,375.92
  5. Step 5: Solve for x
    x = 437,375.92/719.89
  6. Step 6: Final answer
    x = 607.56

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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.