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Finding the Fourth Proportional to 522.26, 720.50 and 325.43

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Solution

The fourth proportional to 522.26, 720.50 and 325.43 is: 448.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.26 : 720.50 = 325.43 : x
  2. Step 2: Convert to fraction form
    522.26/720.50 = 325.43/x
  3. Step 3: Cross multiply
    522.26x = 720.50 × 325.43
  4. Step 4: Simplify right side
    522.26x = 234,472.49
  5. Step 5: Solve for x
    x = 234,472.49/522.26
  6. Step 6: Final answer
    x = 448.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.