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Finding the Fourth Proportional to 497.52, 744.05 and 443

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Solution

The fourth proportional to 497.52, 744.05 and 443 is: 662.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.52 : 744.05 = 443 : x
  2. Step 2: Convert to fraction form
    497.52/744.05 = 443/x
  3. Step 3: Cross multiply
    497.52x = 744.05 × 443
  4. Step 4: Simplify right side
    497.52x = 329,614.15
  5. Step 5: Solve for x
    x = 329,614.15/497.52
  6. Step 6: Final answer
    x = 662.51

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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.