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Finding the Fourth Proportional to 1,328.73, 1,991.29 and 634.42

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Solution

The fourth proportional to 1,328.73, 1,991.29 and 634.42 is: 950.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.73 : 1,991.29 = 634.42 : x
  2. Step 2: Convert to fraction form
    1,328.73/1,991.29 = 634.42/x
  3. Step 3: Cross multiply
    1,328.73x = 1,991.29 × 634.42
  4. Step 4: Simplify right side
    1,328.73x = 1,263,314.20
  5. Step 5: Solve for x
    x = 1,263,314.20/1,328.73
  6. Step 6: Final answer
    x = 950.77

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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.