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Finding the Fourth Proportional to 494.30, 682.43 and 346.95

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Solution

The fourth proportional to 494.30, 682.43 and 346.95 is: 478.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.30 : 682.43 = 346.95 : x
  2. Step 2: Convert to fraction form
    494.30/682.43 = 346.95/x
  3. Step 3: Cross multiply
    494.30x = 682.43 × 346.95
  4. Step 4: Simplify right side
    494.30x = 236,767.35
  5. Step 5: Solve for x
    x = 236,767.35/494.30
  6. Step 6: Final answer
    x = 478.99

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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.