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Finding the Fourth Proportional to 994.35, 1,371.65 and 923.95

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Solution

The fourth proportional to 994.35, 1,371.65 and 923.95 is: 1,274.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.35 : 1,371.65 = 923.95 : x
  2. Step 2: Convert to fraction form
    994.35/1,371.65 = 923.95/x
  3. Step 3: Cross multiply
    994.35x = 1,371.65 × 923.95
  4. Step 4: Simplify right side
    994.35x = 1,267,333.11
  5. Step 5: Solve for x
    x = 1,267,333.11/994.35
  6. Step 6: Final answer
    x = 1,274.54

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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.