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Finding the Fourth Proportional to 1,933.82, 2,900.46 and 617.73

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Solution

The fourth proportional to 1,933.82, 2,900.46 and 617.73 is: 926.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,933.82 : 2,900.46 = 617.73 : x
  2. Step 2: Convert to fraction form
    1,933.82/2,900.46 = 617.73/x
  3. Step 3: Cross multiply
    1,933.82x = 2,900.46 × 617.73
  4. Step 4: Simplify right side
    1,933.82x = 1,791,689.12
  5. Step 5: Solve for x
    x = 1,791,689.12/1,933.82
  6. Step 6: Final answer
    x = 926.50

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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.