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Finding the Fourth Proportional to 495.76, 683.82 and 298.90

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Solution

The fourth proportional to 495.76, 683.82 and 298.90 is: 412.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.76 : 683.82 = 298.90 : x
  2. Step 2: Convert to fraction form
    495.76/683.82 = 298.90/x
  3. Step 3: Cross multiply
    495.76x = 683.82 × 298.90
  4. Step 4: Simplify right side
    495.76x = 204,393.80
  5. Step 5: Solve for x
    x = 204,393.80/495.76
  6. Step 6: Final answer
    x = 412.28

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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.