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Finding the Fourth Proportional to 719.81, 993.30 and 409.31

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Solution

The fourth proportional to 719.81, 993.30 and 409.31 is: 564.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.81 : 993.30 = 409.31 : x
  2. Step 2: Convert to fraction form
    719.81/993.30 = 409.31/x
  3. Step 3: Cross multiply
    719.81x = 993.30 × 409.31
  4. Step 4: Simplify right side
    719.81x = 406,567.62
  5. Step 5: Solve for x
    x = 406,567.62/719.81
  6. Step 6: Final answer
    x = 564.83

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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.