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Finding the Fourth Proportional to 722.41, 1,078.39 and 634.83

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Solution

The fourth proportional to 722.41, 1,078.39 and 634.83 is: 947.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.41 : 1,078.39 = 634.83 : x
  2. Step 2: Convert to fraction form
    722.41/1,078.39 = 634.83/x
  3. Step 3: Cross multiply
    722.41x = 1,078.39 × 634.83
  4. Step 4: Simplify right side
    722.41x = 684,594.32
  5. Step 5: Solve for x
    x = 684,594.32/722.41
  6. Step 6: Final answer
    x = 947.65

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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.