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Finding the Fourth Proportional to 1,301.34, 1,951.94 and 327.44

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Solution

The fourth proportional to 1,301.34, 1,951.94 and 327.44 is: 491.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.34 : 1,951.94 = 327.44 : x
  2. Step 2: Convert to fraction form
    1,301.34/1,951.94 = 327.44/x
  3. Step 3: Cross multiply
    1,301.34x = 1,951.94 × 327.44
  4. Step 4: Simplify right side
    1,301.34x = 639,143.23
  5. Step 5: Solve for x
    x = 639,143.23/1,301.34
  6. Step 6: Final answer
    x = 491.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.