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Finding the Fourth Proportional to 995.92, 1,374.58 and 681.82

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Solution

The fourth proportional to 995.92, 1,374.58 and 681.82 is: 941.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.92 : 1,374.58 = 681.82 : x
  2. Step 2: Convert to fraction form
    995.92/1,374.58 = 681.82/x
  3. Step 3: Cross multiply
    995.92x = 1,374.58 × 681.82
  4. Step 4: Simplify right side
    995.92x = 937,214.43
  5. Step 5: Solve for x
    x = 937,214.43/995.92
  6. Step 6: Final answer
    x = 941.05

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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.