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Finding the Fourth Proportional to 680.83, 1,021.11 and 434.05

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Solution

The fourth proportional to 680.83, 1,021.11 and 434.05 is: 650.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.83 : 1,021.11 = 434.05 : x
  2. Step 2: Convert to fraction form
    680.83/1,021.11 = 434.05/x
  3. Step 3: Cross multiply
    680.83x = 1,021.11 × 434.05
  4. Step 4: Simplify right side
    680.83x = 443,212.80
  5. Step 5: Solve for x
    x = 443,212.80/680.83
  6. Step 6: Final answer
    x = 650.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.