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Finding the Fourth Proportional to 495.28, 683.70 and 347.92

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Solution

The fourth proportional to 495.28, 683.70 and 347.92 is: 480.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.28 : 683.70 = 347.92 : x
  2. Step 2: Convert to fraction form
    495.28/683.70 = 347.92/x
  3. Step 3: Cross multiply
    495.28x = 683.70 × 347.92
  4. Step 4: Simplify right side
    495.28x = 237,872.90
  5. Step 5: Solve for x
    x = 237,872.90/495.28
  6. Step 6: Final answer
    x = 480.28

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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.