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Finding the Fourth Proportional to 495.98, 743.46 and 349.73

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Solution

The fourth proportional to 495.98, 743.46 and 349.73 is: 524.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.98 : 743.46 = 349.73 : x
  2. Step 2: Convert to fraction form
    495.98/743.46 = 349.73/x
  3. Step 3: Cross multiply
    495.98x = 743.46 × 349.73
  4. Step 4: Simplify right side
    495.98x = 260,006.55
  5. Step 5: Solve for x
    x = 260,006.55/495.98
  6. Step 6: Final answer
    x = 524.23

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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.