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Finding the Fourth Proportional to 494.64, 682.16 and 354.72

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Solution

The fourth proportional to 494.64, 682.16 and 354.72 is: 489.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.64 : 682.16 = 354.72 : x
  2. Step 2: Convert to fraction form
    494.64/682.16 = 354.72/x
  3. Step 3: Cross multiply
    494.64x = 682.16 × 354.72
  4. Step 4: Simplify right side
    494.64x = 241,975.80
  5. Step 5: Solve for x
    x = 241,975.80/494.64
  6. Step 6: Final answer
    x = 489.20

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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.