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Finding the Fourth Proportional to 1,933.18, 2,899.80 and 634.78

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Solution

The fourth proportional to 1,933.18, 2,899.80 and 634.78 is: 952.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,933.18 : 2,899.80 = 634.78 : x
  2. Step 2: Convert to fraction form
    1,933.18/2,899.80 = 634.78/x
  3. Step 3: Cross multiply
    1,933.18x = 2,899.80 × 634.78
  4. Step 4: Simplify right side
    1,933.18x = 1,840,735.04
  5. Step 5: Solve for x
    x = 1,840,735.04/1,933.18
  6. Step 6: Final answer
    x = 952.18

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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.