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Finding the Fourth Proportional to 495.91, 743.02 and 423.43

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Solution

The fourth proportional to 495.91, 743.02 and 423.43 is: 634.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.91 : 743.02 = 423.43 : x
  2. Step 2: Convert to fraction form
    495.91/743.02 = 423.43/x
  3. Step 3: Cross multiply
    495.91x = 743.02 × 423.43
  4. Step 4: Simplify right side
    495.91x = 314,616.96
  5. Step 5: Solve for x
    x = 314,616.96/495.91
  6. Step 6: Final answer
    x = 634.42

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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.