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Finding the Fourth Proportional to 454.72, 681.44 and 393.44

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Solution

The fourth proportional to 454.72, 681.44 and 393.44 is: 589.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.72 : 681.44 = 393.44 : x
  2. Step 2: Convert to fraction form
    454.72/681.44 = 393.44/x
  3. Step 3: Cross multiply
    454.72x = 681.44 × 393.44
  4. Step 4: Simplify right side
    454.72x = 268,105.75
  5. Step 5: Solve for x
    x = 268,105.75/454.72
  6. Step 6: Final answer
    x = 589.61

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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.