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Finding the Fourth Proportional to 683.16, 1,019.82 and 634.56

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Solution

The fourth proportional to 683.16, 1,019.82 and 634.56 is: 947.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.16 : 1,019.82 = 634.56 : x
  2. Step 2: Convert to fraction form
    683.16/1,019.82 = 634.56/x
  3. Step 3: Cross multiply
    683.16x = 1,019.82 × 634.56
  4. Step 4: Simplify right side
    683.16x = 647,136.98
  5. Step 5: Solve for x
    x = 647,136.98/683.16
  6. Step 6: Final answer
    x = 947.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.