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Finding the Fourth Proportional to 719.30, 992.64 and 408.80

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Solution

The fourth proportional to 719.30, 992.64 and 408.80 is: 564.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.30 : 992.64 = 408.80 : x
  2. Step 2: Convert to fraction form
    719.30/992.64 = 408.80/x
  3. Step 3: Cross multiply
    719.30x = 992.64 × 408.80
  4. Step 4: Simplify right side
    719.30x = 405,787.36
  5. Step 5: Solve for x
    x = 405,787.36/719.30
  6. Step 6: Final answer
    x = 564.14

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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.