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Finding the Fourth Proportional to 1,282.58, 1,922.04 and 633.77

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Solution

The fourth proportional to 1,282.58, 1,922.04 and 633.77 is: 949.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.58 : 1,922.04 = 633.77 : x
  2. Step 2: Convert to fraction form
    1,282.58/1,922.04 = 633.77/x
  3. Step 3: Cross multiply
    1,282.58x = 1,922.04 × 633.77
  4. Step 4: Simplify right side
    1,282.58x = 1,218,121.68
  5. Step 5: Solve for x
    x = 1,218,121.68/1,282.58
  6. Step 6: Final answer
    x = 949.75

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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.