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Finding the Fourth Proportional to 494.75, 682.89 and 328.88

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Solution

The fourth proportional to 494.75, 682.89 and 328.88 is: 453.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.75 : 682.89 = 328.88 : x
  2. Step 2: Convert to fraction form
    494.75/682.89 = 328.88/x
  3. Step 3: Cross multiply
    494.75x = 682.89 × 328.88
  4. Step 4: Simplify right side
    494.75x = 224,588.86
  5. Step 5: Solve for x
    x = 224,588.86/494.75
  6. Step 6: Final answer
    x = 453.94

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1.5x scale

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.