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Finding the Fourth Proportional to 484.03, 724.36 and 396.35

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Solution

The fourth proportional to 484.03, 724.36 and 396.35 is: 593.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.03 : 724.36 = 396.35 : x
  2. Step 2: Convert to fraction form
    484.03/724.36 = 396.35/x
  3. Step 3: Cross multiply
    484.03x = 724.36 × 396.35
  4. Step 4: Simplify right side
    484.03x = 287,100.09
  5. Step 5: Solve for x
    x = 287,100.09/484.03
  6. Step 6: Final answer
    x = 593.15

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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.