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Finding the Fourth Proportional to 522.42, 721.06 and 325.90

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Solution

The fourth proportional to 522.42, 721.06 and 325.90 is: 449.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.42 : 721.06 = 325.90 : x
  2. Step 2: Convert to fraction form
    522.42/721.06 = 325.90/x
  3. Step 3: Cross multiply
    522.42x = 721.06 × 325.90
  4. Step 4: Simplify right side
    522.42x = 234,993.80
  5. Step 5: Solve for x
    x = 234,993.80/522.42
  6. Step 6: Final answer
    x = 449.81

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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.