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Finding the Fourth Proportional to 494.59, 682.18 and 328.72

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Solution

The fourth proportional to 494.59, 682.18 and 328.72 is: 453.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.59 : 682.18 = 328.72 : x
  2. Step 2: Convert to fraction form
    494.59/682.18 = 328.72/x
  3. Step 3: Cross multiply
    494.59x = 682.18 × 328.72
  4. Step 4: Simplify right side
    494.59x = 224,246.21
  5. Step 5: Solve for x
    x = 224,246.21/494.59
  6. Step 6: Final answer
    x = 453.40

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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.