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Finding the Fourth Proportional to 423.15, 583.23 and 324.73

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Solution

The fourth proportional to 423.15, 583.23 and 324.73 is: 447.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.15 : 583.23 = 324.73 : x
  2. Step 2: Convert to fraction form
    423.15/583.23 = 324.73/x
  3. Step 3: Cross multiply
    423.15x = 583.23 × 324.73
  4. Step 4: Simplify right side
    423.15x = 189,392.28
  5. Step 5: Solve for x
    x = 189,392.28/423.15
  6. Step 6: Final answer
    x = 447.58

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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.