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Finding the Fourth Proportional to 495.76, 683.82 and 321.18

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Solution

The fourth proportional to 495.76, 683.82 and 321.18 is: 443.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.76 : 683.82 = 321.18 : x
  2. Step 2: Convert to fraction form
    495.76/683.82 = 321.18/x
  3. Step 3: Cross multiply
    495.76x = 683.82 × 321.18
  4. Step 4: Simplify right side
    495.76x = 219,629.31
  5. Step 5: Solve for x
    x = 219,629.31/495.76
  6. Step 6: Final answer
    x = 443.02

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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.