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Finding the Fourth Proportional to 719.82, 993.02 and 467.73

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Solution

The fourth proportional to 719.82, 993.02 and 467.73 is: 645.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.82 : 993.02 = 467.73 : x
  2. Step 2: Convert to fraction form
    719.82/993.02 = 467.73/x
  3. Step 3: Cross multiply
    719.82x = 993.02 × 467.73
  4. Step 4: Simplify right side
    719.82x = 464,470.14
  5. Step 5: Solve for x
    x = 464,470.14/719.82
  6. Step 6: Final answer
    x = 645.26

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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.