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Finding the Fourth Proportional to 994.52, 1,373.82 and 945.92

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Solution

The fourth proportional to 994.52, 1,373.82 and 945.92 is: 1,306.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.52 : 1,373.82 = 945.92 : x
  2. Step 2: Convert to fraction form
    994.52/1,373.82 = 945.92/x
  3. Step 3: Cross multiply
    994.52x = 1,373.82 × 945.92
  4. Step 4: Simplify right side
    994.52x = 1,299,523.81
  5. Step 5: Solve for x
    x = 1,299,523.81/994.52
  6. Step 6: Final answer
    x = 1,306.68

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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.