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Finding the Fourth Proportional to 495.28, 683.22 and 347.84

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Solution

The fourth proportional to 495.28, 683.22 and 347.84 is: 479.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.28 : 683.22 = 347.84 : x
  2. Step 2: Convert to fraction form
    495.28/683.22 = 347.84/x
  3. Step 3: Cross multiply
    495.28x = 683.22 × 347.84
  4. Step 4: Simplify right side
    495.28x = 237,651.24
  5. Step 5: Solve for x
    x = 237,651.24/495.28
  6. Step 6: Final answer
    x = 479.83

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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.