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Finding the Fourth Proportional to 681.72, 1,023.02 and 408.08

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Solution

The fourth proportional to 681.72, 1,023.02 and 408.08 is: 612.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.72 : 1,023.02 = 408.08 : x
  2. Step 2: Convert to fraction form
    681.72/1,023.02 = 408.08/x
  3. Step 3: Cross multiply
    681.72x = 1,023.02 × 408.08
  4. Step 4: Simplify right side
    681.72x = 417,474.00
  5. Step 5: Solve for x
    x = 417,474.00/681.72
  6. Step 6: Final answer
    x = 612.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.