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Finding the Fourth Proportional to 495.34, 743.20 and 454.97

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Solution

The fourth proportional to 495.34, 743.20 and 454.97 is: 682.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.34 : 743.20 = 454.97 : x
  2. Step 2: Convert to fraction form
    495.34/743.20 = 454.97/x
  3. Step 3: Cross multiply
    495.34x = 743.20 × 454.97
  4. Step 4: Simplify right side
    495.34x = 338,133.70
  5. Step 5: Solve for x
    x = 338,133.70/495.34
  6. Step 6: Final answer
    x = 682.64

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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.