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Finding the Fourth Proportional to 443.72, 608.47 and 399.92

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Solution

The fourth proportional to 443.72, 608.47 and 399.92 is: 548.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.72 : 608.47 = 399.92 : x
  2. Step 2: Convert to fraction form
    443.72/608.47 = 399.92/x
  3. Step 3: Cross multiply
    443.72x = 608.47 × 399.92
  4. Step 4: Simplify right side
    443.72x = 243,339.32
  5. Step 5: Solve for x
    x = 243,339.32/443.72
  6. Step 6: Final answer
    x = 548.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.