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Finding the Fourth Proportional to 423.63, 636.87 and 343.02

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Solution

The fourth proportional to 423.63, 636.87 and 343.02 is: 515.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.63 : 636.87 = 343.02 : x
  2. Step 2: Convert to fraction form
    423.63/636.87 = 343.02/x
  3. Step 3: Cross multiply
    423.63x = 636.87 × 343.02
  4. Step 4: Simplify right side
    423.63x = 218,459.15
  5. Step 5: Solve for x
    x = 218,459.15/423.63
  6. Step 6: Final answer
    x = 515.68

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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.