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Finding the Fourth Proportional to 484.68, 725.61 and 438.24

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Solution

The fourth proportional to 484.68, 725.61 and 438.24 is: 656.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.68 : 725.61 = 438.24 : x
  2. Step 2: Convert to fraction form
    484.68/725.61 = 438.24/x
  3. Step 3: Cross multiply
    484.68x = 725.61 × 438.24
  4. Step 4: Simplify right side
    484.68x = 317,991.33
  5. Step 5: Solve for x
    x = 317,991.33/484.68
  6. Step 6: Final answer
    x = 656.09

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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.