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Finding the Fourth Proportional to 521.90, 720.42 and 325.46

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Solution

The fourth proportional to 521.90, 720.42 and 325.46 is: 449.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.90 : 720.42 = 325.46 : x
  2. Step 2: Convert to fraction form
    521.90/720.42 = 325.46/x
  3. Step 3: Cross multiply
    521.90x = 720.42 × 325.46
  4. Step 4: Simplify right side
    521.90x = 234,467.89
  5. Step 5: Solve for x
    x = 234,467.89/521.90
  6. Step 6: Final answer
    x = 449.26

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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.