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Finding the Fourth Proportional to 762.84, 1,142.43 and 680.83

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Solution

The fourth proportional to 762.84, 1,142.43 and 680.83 is: 1,019.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.84 : 1,142.43 = 680.83 : x
  2. Step 2: Convert to fraction form
    762.84/1,142.43 = 680.83/x
  3. Step 3: Cross multiply
    762.84x = 1,142.43 × 680.83
  4. Step 4: Simplify right side
    762.84x = 777,800.62
  5. Step 5: Solve for x
    x = 777,800.62/762.84
  6. Step 6: Final answer
    x = 1,019.61

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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.