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Finding the Fourth Proportional to 680.26, 1,021.20 and 437.80

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Solution

The fourth proportional to 680.26, 1,021.20 and 437.80 is: 657.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.26 : 1,021.20 = 437.80 : x
  2. Step 2: Convert to fraction form
    680.26/1,021.20 = 437.80/x
  3. Step 3: Cross multiply
    680.26x = 1,021.20 × 437.80
  4. Step 4: Simplify right side
    680.26x = 447,081.36
  5. Step 5: Solve for x
    x = 447,081.36/680.26
  6. Step 6: Final answer
    x = 657.22

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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.