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Finding the Fourth Proportional to 443.53, 664.21 and 430.57

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Solution

The fourth proportional to 443.53, 664.21 and 430.57 is: 644.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.53 : 664.21 = 430.57 : x
  2. Step 2: Convert to fraction form
    443.53/664.21 = 430.57/x
  3. Step 3: Cross multiply
    443.53x = 664.21 × 430.57
  4. Step 4: Simplify right side
    443.53x = 285,988.90
  5. Step 5: Solve for x
    x = 285,988.90/443.53
  6. Step 6: Final answer
    x = 644.80

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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.