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Finding the Fourth Proportional to 1,293.94, 1,938.39 and 772.84

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Solution

The fourth proportional to 1,293.94, 1,938.39 and 772.84 is: 1,157.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.94 : 1,938.39 = 772.84 : x
  2. Step 2: Convert to fraction form
    1,293.94/1,938.39 = 772.84/x
  3. Step 3: Cross multiply
    1,293.94x = 1,938.39 × 772.84
  4. Step 4: Simplify right side
    1,293.94x = 1,498,065.33
  5. Step 5: Solve for x
    x = 1,498,065.33/1,293.94
  6. Step 6: Final answer
    x = 1,157.75

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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.