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Finding the Fourth Proportional to 996.34, 1,373.61 and 730.87

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Solution

The fourth proportional to 996.34, 1,373.61 and 730.87 is: 1,007.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.34 : 1,373.61 = 730.87 : x
  2. Step 2: Convert to fraction form
    996.34/1,373.61 = 730.87/x
  3. Step 3: Cross multiply
    996.34x = 1,373.61 × 730.87
  4. Step 4: Simplify right side
    996.34x = 1,003,930.34
  5. Step 5: Solve for x
    x = 1,003,930.34/996.34
  6. Step 6: Final answer
    x = 1,007.62

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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.