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Finding the Fourth Proportional to 495.35, 682.74 and 355.23

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Solution

The fourth proportional to 495.35, 682.74 and 355.23 is: 489.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.35 : 682.74 = 355.23 : x
  2. Step 2: Convert to fraction form
    495.35/682.74 = 355.23/x
  3. Step 3: Cross multiply
    495.35x = 682.74 × 355.23
  4. Step 4: Simplify right side
    495.35x = 242,529.73
  5. Step 5: Solve for x
    x = 242,529.73/495.35
  6. Step 6: Final answer
    x = 489.62

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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.