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Finding the Fourth Proportional to 1,429.30, 1,972.97 and 905.68

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Solution

The fourth proportional to 1,429.30, 1,972.97 and 905.68 is: 1,250.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.30 : 1,972.97 = 905.68 : x
  2. Step 2: Convert to fraction form
    1,429.30/1,972.97 = 905.68/x
  3. Step 3: Cross multiply
    1,429.30x = 1,972.97 × 905.68
  4. Step 4: Simplify right side
    1,429.30x = 1,786,879.47
  5. Step 5: Solve for x
    x = 1,786,879.47/1,429.30
  6. Step 6: Final answer
    x = 1,250.18

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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.