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Finding the Fourth Proportional to 494.74, 682.52 and 347.46

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Solution

The fourth proportional to 494.74, 682.52 and 347.46 is: 479.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.74 : 682.52 = 347.46 : x
  2. Step 2: Convert to fraction form
    494.74/682.52 = 347.46/x
  3. Step 3: Cross multiply
    494.74x = 682.52 × 347.46
  4. Step 4: Simplify right side
    494.74x = 237,148.40
  5. Step 5: Solve for x
    x = 237,148.40/494.74
  6. Step 6: Final answer
    x = 479.34

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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.