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Finding the Fourth Proportional to 494.02, 682.12 and 346.86

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Solution

The fourth proportional to 494.02, 682.12 and 346.86 is: 478.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.02 : 682.12 = 346.86 : x
  2. Step 2: Convert to fraction form
    494.02/682.12 = 346.86/x
  3. Step 3: Cross multiply
    494.02x = 682.12 × 346.86
  4. Step 4: Simplify right side
    494.02x = 236,600.14
  5. Step 5: Solve for x
    x = 236,600.14/494.02
  6. Step 6: Final answer
    x = 478.93

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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.