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Finding the Fourth Proportional to 412.62, 617.99 and 325.35

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Solution

The fourth proportional to 412.62, 617.99 and 325.35 is: 487.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.62 : 617.99 = 325.35 : x
  2. Step 2: Convert to fraction form
    412.62/617.99 = 325.35/x
  3. Step 3: Cross multiply
    412.62x = 617.99 × 325.35
  4. Step 4: Simplify right side
    412.62x = 201,061.42
  5. Step 5: Solve for x
    x = 201,061.42/412.62
  6. Step 6: Final answer
    x = 487.28

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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.