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Finding the Fourth Proportional to 718.99, 992.20 and 408.49

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Solution

The fourth proportional to 718.99, 992.20 and 408.49 is: 563.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.99 : 992.20 = 408.49 : x
  2. Step 2: Convert to fraction form
    718.99/992.20 = 408.49/x
  3. Step 3: Cross multiply
    718.99x = 992.20 × 408.49
  4. Step 4: Simplify right side
    718.99x = 405,303.78
  5. Step 5: Solve for x
    x = 405,303.78/718.99
  6. Step 6: Final answer
    x = 563.71

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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.