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Finding the Fourth Proportional to 494.38, 680.21 and 482.23

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Solution

The fourth proportional to 494.38, 680.21 and 482.23 is: 663.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.38 : 680.21 = 482.23 : x
  2. Step 2: Convert to fraction form
    494.38/680.21 = 482.23/x
  3. Step 3: Cross multiply
    494.38x = 680.21 × 482.23
  4. Step 4: Simplify right side
    494.38x = 328,011.86
  5. Step 5: Solve for x
    x = 328,011.86/494.38
  6. Step 6: Final answer
    x = 663.49

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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.