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Finding the Fourth Proportional to 1,301.19, 1,951.77 and 327.29

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Solution

The fourth proportional to 1,301.19, 1,951.77 and 327.29 is: 490.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.19 : 1,951.77 = 327.29 : x
  2. Step 2: Convert to fraction form
    1,301.19/1,951.77 = 327.29/x
  3. Step 3: Cross multiply
    1,301.19x = 1,951.77 × 327.29
  4. Step 4: Simplify right side
    1,301.19x = 638,794.80
  5. Step 5: Solve for x
    x = 638,794.80/1,301.19
  6. Step 6: Final answer
    x = 490.93

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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.