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Finding the Fourth Proportional to 719.44, 992.84 and 408.94

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Solution

The fourth proportional to 719.44, 992.84 and 408.94 is: 564.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.44 : 992.84 = 408.94 : x
  2. Step 2: Convert to fraction form
    719.44/992.84 = 408.94/x
  3. Step 3: Cross multiply
    719.44x = 992.84 × 408.94
  4. Step 4: Simplify right side
    719.44x = 406,007.46
  5. Step 5: Solve for x
    x = 406,007.46/719.44
  6. Step 6: Final answer
    x = 564.34

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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.