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Finding the Fourth Proportional to 995.92, 1,374.94 and 664.83

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Solution

The fourth proportional to 995.92, 1,374.94 and 664.83 is: 917.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.92 : 1,374.94 = 664.83 : x
  2. Step 2: Convert to fraction form
    995.92/1,374.94 = 664.83/x
  3. Step 3: Cross multiply
    995.92x = 1,374.94 × 664.83
  4. Step 4: Simplify right side
    995.92x = 914,101.36
  5. Step 5: Solve for x
    x = 914,101.36/995.92
  6. Step 6: Final answer
    x = 917.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.