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Finding the Fourth Proportional to 680.29, 938.16 and 456.73

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Solution

The fourth proportional to 680.29, 938.16 and 456.73 is: 629.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.29 : 938.16 = 456.73 : x
  2. Step 2: Convert to fraction form
    680.29/938.16 = 456.73/x
  3. Step 3: Cross multiply
    680.29x = 938.16 × 456.73
  4. Step 4: Simplify right side
    680.29x = 428,483.53
  5. Step 5: Solve for x
    x = 428,483.53/680.29
  6. Step 6: Final answer
    x = 629.85

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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.