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Finding the Fourth Proportional to 456.22, 682.80 and 347.38

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Solution

The fourth proportional to 456.22, 682.80 and 347.38 is: 519.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.22 : 682.80 = 347.38 : x
  2. Step 2: Convert to fraction form
    456.22/682.80 = 347.38/x
  3. Step 3: Cross multiply
    456.22x = 682.80 × 347.38
  4. Step 4: Simplify right side
    456.22x = 237,191.06
  5. Step 5: Solve for x
    x = 237,191.06/456.22
  6. Step 6: Final answer
    x = 519.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.