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Finding the Fourth Proportional to 680.12, 938.10 and 458.96

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Solution

The fourth proportional to 680.12, 938.10 and 458.96 is: 633.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.12 : 938.10 = 458.96 : x
  2. Step 2: Convert to fraction form
    680.12/938.10 = 458.96/x
  3. Step 3: Cross multiply
    680.12x = 938.10 × 458.96
  4. Step 4: Simplify right side
    680.12x = 430,550.38
  5. Step 5: Solve for x
    x = 430,550.38/680.12
  6. Step 6: Final answer
    x = 633.05

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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.