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Finding the Fourth Proportional to 719.75, 993.26 and 409.25

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Solution

The fourth proportional to 719.75, 993.26 and 409.25 is: 564.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.75 : 993.26 = 409.25 : x
  2. Step 2: Convert to fraction form
    719.75/993.26 = 409.25/x
  3. Step 3: Cross multiply
    719.75x = 993.26 × 409.25
  4. Step 4: Simplify right side
    719.75x = 406,491.66
  5. Step 5: Solve for x
    x = 406,491.66/719.75
  6. Step 6: Final answer
    x = 564.77

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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.