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Finding the Fourth Proportional to 521.87, 720.24 and 325.41

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Solution

The fourth proportional to 521.87, 720.24 and 325.41 is: 449.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.87 : 720.24 = 325.41 : x
  2. Step 2: Convert to fraction form
    521.87/720.24 = 325.41/x
  3. Step 3: Cross multiply
    521.87x = 720.24 × 325.41
  4. Step 4: Simplify right side
    521.87x = 234,373.30
  5. Step 5: Solve for x
    x = 234,373.30/521.87
  6. Step 6: Final answer
    x = 449.11

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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.