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Finding the Fourth Proportional to 423.35, 584.04 and 324.94

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Solution

The fourth proportional to 423.35, 584.04 and 324.94 is: 448.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.35 : 584.04 = 324.94 : x
  2. Step 2: Convert to fraction form
    423.35/584.04 = 324.94/x
  3. Step 3: Cross multiply
    423.35x = 584.04 × 324.94
  4. Step 4: Simplify right side
    423.35x = 189,778.81
  5. Step 5: Solve for x
    x = 189,778.81/423.35
  6. Step 6: Final answer
    x = 448.27

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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.