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Finding the Fourth Proportional to 680.68, 1,019.82 and 405.96

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Solution

The fourth proportional to 680.68, 1,019.82 and 405.96 is: 608.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.68 : 1,019.82 = 405.96 : x
  2. Step 2: Convert to fraction form
    680.68/1,019.82 = 405.96/x
  3. Step 3: Cross multiply
    680.68x = 1,019.82 × 405.96
  4. Step 4: Simplify right side
    680.68x = 414,006.13
  5. Step 5: Solve for x
    x = 414,006.13/680.68
  6. Step 6: Final answer
    x = 608.22

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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.