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Finding the Fourth Proportional to 523.45, 722.48 and 324.39

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Solution

The fourth proportional to 523.45, 722.48 and 324.39 is: 447.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.45 : 722.48 = 324.39 : x
  2. Step 2: Convert to fraction form
    523.45/722.48 = 324.39/x
  3. Step 3: Cross multiply
    523.45x = 722.48 × 324.39
  4. Step 4: Simplify right side
    523.45x = 234,365.29
  5. Step 5: Solve for x
    x = 234,365.29/523.45
  6. Step 6: Final answer
    x = 447.73

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Double scale
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Similar ratio
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1.5x scale

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.