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Finding the Fourth Proportional to 684.80, 1,022.23 and 634.04

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Solution

The fourth proportional to 684.80, 1,022.23 and 634.04 is: 946.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.80 : 1,022.23 = 634.04 : x
  2. Step 2: Convert to fraction form
    684.80/1,022.23 = 634.04/x
  3. Step 3: Cross multiply
    684.80x = 1,022.23 × 634.04
  4. Step 4: Simplify right side
    684.80x = 648,135.68
  5. Step 5: Solve for x
    x = 648,135.68/684.80
  6. Step 6: Final answer
    x = 946.46

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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.