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Finding the Fourth Proportional to 495.05, 682.95 and 347.78

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Solution

The fourth proportional to 495.05, 682.95 and 347.78 is: 479.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.05 : 682.95 = 347.78 : x
  2. Step 2: Convert to fraction form
    495.05/682.95 = 347.78/x
  3. Step 3: Cross multiply
    495.05x = 682.95 × 347.78
  4. Step 4: Simplify right side
    495.05x = 237,516.35
  5. Step 5: Solve for x
    x = 237,516.35/495.05
  6. Step 6: Final answer
    x = 479.78

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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.