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Finding the Fourth Proportional to 719.49, 992.89 and 408.99

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Solution

The fourth proportional to 719.49, 992.89 and 408.99 is: 564.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.49 : 992.89 = 408.99 : x
  2. Step 2: Convert to fraction form
    719.49/992.89 = 408.99/x
  3. Step 3: Cross multiply
    719.49x = 992.89 × 408.99
  4. Step 4: Simplify right side
    719.49x = 406,082.59
  5. Step 5: Solve for x
    x = 406,082.59/719.49
  6. Step 6: Final answer
    x = 564.40

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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.