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Finding the Fourth Proportional to 465, 641.64 and 423.69

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Solution

The fourth proportional to 465, 641.64 and 423.69 is: 584.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    465 : 641.64 = 423.69 : x
  2. Step 2: Convert to fraction form
    465/641.64 = 423.69/x
  3. Step 3: Cross multiply
    465x = 641.64 × 423.69
  4. Step 4: Simplify right side
    465x = 271,856.45
  5. Step 5: Solve for x
    x = 271,856.45/465
  6. Step 6: Final answer
    x = 584.64

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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.